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Finding the Fourth Proportional to 1,854.15, 2,781.27 and 757.74

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Solution

The fourth proportional to 1,854.15, 2,781.27 and 757.74 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.15 : 2,781.27 = 757.74 : x
  2. Step 2: Convert to fraction form
    1,854.15/2,781.27 = 757.74/x
  3. Step 3: Cross multiply
    1,854.15x = 2,781.27 × 757.74
  4. Step 4: Simplify right side
    1,854.15x = 2,107,489.96
  5. Step 5: Solve for x
    x = 2,107,489.96/1,854.15
  6. Step 6: Final answer
    x = 1,136.64

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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.