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Finding the Fourth Proportional to 2,507.32, 3,761.24 and 1,026.24

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Solution

The fourth proportional to 2,507.32, 3,761.24 and 1,026.24 is: 1,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.32 : 3,761.24 = 1,026.24 : x
  2. Step 2: Convert to fraction form
    2,507.32/3,761.24 = 1,026.24/x
  3. Step 3: Cross multiply
    2,507.32x = 3,761.24 × 1,026.24
  4. Step 4: Simplify right side
    2,507.32x = 3,859,915.70
  5. Step 5: Solve for x
    x = 3,859,915.70/2,507.32
  6. Step 6: Final answer
    x = 1,539.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.