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Finding the Fourth Proportional to 1,854.51, 2,781.74 and 743.62

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Solution

The fourth proportional to 1,854.51, 2,781.74 and 743.62 is: 1,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.51 : 2,781.74 = 743.62 : x
  2. Step 2: Convert to fraction form
    1,854.51/2,781.74 = 743.62/x
  3. Step 3: Cross multiply
    1,854.51x = 2,781.74 × 743.62
  4. Step 4: Simplify right side
    1,854.51x = 2,068,553.71
  5. Step 5: Solve for x
    x = 2,068,553.71/1,854.51
  6. Step 6: Final answer
    x = 1,115.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.