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Finding the Fourth Proportional to 2,562.90, 3,534.12 and 2,002.38

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Solution

The fourth proportional to 2,562.90, 3,534.12 and 2,002.38 is: 2,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.90 : 3,534.12 = 2,002.38 : x
  2. Step 2: Convert to fraction form
    2,562.90/3,534.12 = 2,002.38/x
  3. Step 3: Cross multiply
    2,562.90x = 3,534.12 × 2,002.38
  4. Step 4: Simplify right side
    2,562.90x = 7,076,651.21
  5. Step 5: Solve for x
    x = 7,076,651.21/2,562.90
  6. Step 6: Final answer
    x = 2,761.19

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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.