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Finding the Fourth Proportional to 2,205.03, 3,043.08 and 1,210.41

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Solution

The fourth proportional to 2,205.03, 3,043.08 and 1,210.41 is: 1,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.03 : 3,043.08 = 1,210.41 : x
  2. Step 2: Convert to fraction form
    2,205.03/3,043.08 = 1,210.41/x
  3. Step 3: Cross multiply
    2,205.03x = 3,043.08 × 1,210.41
  4. Step 4: Simplify right side
    2,205.03x = 3,683,374.46
  5. Step 5: Solve for x
    x = 3,683,374.46/2,205.03
  6. Step 6: Final answer
    x = 1,670.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.