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Finding the Fourth Proportional to 1,838.52, 2,534.67 and 1,781.15

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Solution

The fourth proportional to 1,838.52, 2,534.67 and 1,781.15 is: 2,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.52 : 2,534.67 = 1,781.15 : x
  2. Step 2: Convert to fraction form
    1,838.52/2,534.67 = 1,781.15/x
  3. Step 3: Cross multiply
    1,838.52x = 2,534.67 × 1,781.15
  4. Step 4: Simplify right side
    1,838.52x = 4,514,614.80
  5. Step 5: Solve for x
    x = 4,514,614.80/1,838.52
  6. Step 6: Final answer
    x = 2,455.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.