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Finding the Fourth Proportional to 1,731.17, 2,596.66 and 635.04

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Solution

The fourth proportional to 1,731.17, 2,596.66 and 635.04 is: 952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.17 : 2,596.66 = 635.04 : x
  2. Step 2: Convert to fraction form
    1,731.17/2,596.66 = 635.04/x
  3. Step 3: Cross multiply
    1,731.17x = 2,596.66 × 635.04
  4. Step 4: Simplify right side
    1,731.17x = 1,648,981.38
  5. Step 5: Solve for x
    x = 1,648,981.38/1,731.17
  6. Step 6: Final answer
    x = 952.52

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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.