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Finding the Fourth Proportional to 2,553.30, 3,862.40 and 2,553.30

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Solution

The fourth proportional to 2,553.30, 3,862.40 and 2,553.30 is: 3,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.30 : 3,862.40 = 2,553.30 : x
  2. Step 2: Convert to fraction form
    2,553.30/3,862.40 = 2,553.30/x
  3. Step 3: Cross multiply
    2,553.30x = 3,862.40 × 2,553.30
  4. Step 4: Simplify right side
    2,553.30x = 9,861,853.15
  5. Step 5: Solve for x
    x = 9,861,853.15/2,553.30
  6. Step 6: Final answer
    x = 3,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.