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Finding the Fourth Proportional to 1,851.71, 2,553.04 and 1,452.14

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Solution

The fourth proportional to 1,851.71, 2,553.04 and 1,452.14 is: 2,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.71 : 2,553.04 = 1,452.14 : x
  2. Step 2: Convert to fraction form
    1,851.71/2,553.04 = 1,452.14/x
  3. Step 3: Cross multiply
    1,851.71x = 2,553.04 × 1,452.14
  4. Step 4: Simplify right side
    1,851.71x = 3,707,351.48
  5. Step 5: Solve for x
    x = 3,707,351.48/1,851.71
  6. Step 6: Final answer
    x = 2,002.12

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Why These Related Problems?

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