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Finding the Fourth Proportional to 1,737.16, 2,609.66 and 1,008.52

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Solution

The fourth proportional to 1,737.16, 2,609.66 and 1,008.52 is: 1,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.16 : 2,609.66 = 1,008.52 : x
  2. Step 2: Convert to fraction form
    1,737.16/2,609.66 = 1,008.52/x
  3. Step 3: Cross multiply
    1,737.16x = 2,609.66 × 1,008.52
  4. Step 4: Simplify right side
    1,737.16x = 2,631,894.30
  5. Step 5: Solve for x
    x = 2,631,894.30/1,737.16
  6. Step 6: Final answer
    x = 1,515.06

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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.