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Finding the Fourth Proportional to 1,854.38, 2,781.56 and 467.69

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Solution

The fourth proportional to 1,854.38, 2,781.56 and 467.69 is: 701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.38 : 2,781.56 = 467.69 : x
  2. Step 2: Convert to fraction form
    1,854.38/2,781.56 = 467.69/x
  3. Step 3: Cross multiply
    1,854.38x = 2,781.56 × 467.69
  4. Step 4: Simplify right side
    1,854.38x = 1,300,901.98
  5. Step 5: Solve for x
    x = 1,300,901.98/1,854.38
  6. Step 6: Final answer
    x = 701.53

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