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Finding the Fourth Proportional to 3,411.73, 4,706.46 and 1,994.49

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Solution

The fourth proportional to 3,411.73, 4,706.46 and 1,994.49 is: 2,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.73 : 4,706.46 = 1,994.49 : x
  2. Step 2: Convert to fraction form
    3,411.73/4,706.46 = 1,994.49/x
  3. Step 3: Cross multiply
    3,411.73x = 4,706.46 × 1,994.49
  4. Step 4: Simplify right side
    3,411.73x = 9,386,992.39
  5. Step 5: Solve for x
    x = 9,386,992.39/3,411.73
  6. Step 6: Final answer
    x = 2,751.39

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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.