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Finding the Fourth Proportional to 1,736.46, 2,396.25 and 1,037.88

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Solution

The fourth proportional to 1,736.46, 2,396.25 and 1,037.88 is: 1,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.46 : 2,396.25 = 1,037.88 : x
  2. Step 2: Convert to fraction form
    1,736.46/2,396.25 = 1,037.88/x
  3. Step 3: Cross multiply
    1,736.46x = 2,396.25 × 1,037.88
  4. Step 4: Simplify right side
    1,736.46x = 2,487,019.95
  5. Step 5: Solve for x
    x = 2,487,019.95/1,736.46
  6. Step 6: Final answer
    x = 1,432.24

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