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Finding the Fourth Proportional to 1,702.47, 2,563.17 and 1,334.30

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Solution

The fourth proportional to 1,702.47, 2,563.17 and 1,334.30 is: 2,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.47 : 2,563.17 = 1,334.30 : x
  2. Step 2: Convert to fraction form
    1,702.47/2,563.17 = 1,334.30/x
  3. Step 3: Cross multiply
    1,702.47x = 2,563.17 × 1,334.30
  4. Step 4: Simplify right side
    1,702.47x = 3,420,024.92
  5. Step 5: Solve for x
    x = 3,420,024.92/1,702.47
  6. Step 6: Final answer
    x = 2,008.86

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