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Finding the Fourth Proportional to 1,854.27, 2,781 and 757.53

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Solution

The fourth proportional to 1,854.27, 2,781 and 757.53 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.27 : 2,781 = 757.53 : x
  2. Step 2: Convert to fraction form
    1,854.27/2,781 = 757.53/x
  3. Step 3: Cross multiply
    1,854.27x = 2,781 × 757.53
  4. Step 4: Simplify right side
    1,854.27x = 2,106,690.93
  5. Step 5: Solve for x
    x = 2,106,690.93/1,854.27
  6. Step 6: Final answer
    x = 1,136.13

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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.