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Finding the Fourth Proportional to 2,205.16, 3,043.17 and 1,210.38

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Solution

The fourth proportional to 2,205.16, 3,043.17 and 1,210.38 is: 1,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.16 : 3,043.17 = 1,210.38 : x
  2. Step 2: Convert to fraction form
    2,205.16/3,043.17 = 1,210.38/x
  3. Step 3: Cross multiply
    2,205.16x = 3,043.17 × 1,210.38
  4. Step 4: Simplify right side
    2,205.16x = 3,683,392.10
  5. Step 5: Solve for x
    x = 3,683,392.10/2,205.16
  6. Step 6: Final answer
    x = 1,670.35

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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.