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Finding the Fourth Proportional to 2,116.65, 3,174.17 and 1,529.88

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Solution

The fourth proportional to 2,116.65, 3,174.17 and 1,529.88 is: 2,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.65 : 3,174.17 = 1,529.88 : x
  2. Step 2: Convert to fraction form
    2,116.65/3,174.17 = 1,529.88/x
  3. Step 3: Cross multiply
    2,116.65x = 3,174.17 × 1,529.88
  4. Step 4: Simplify right side
    2,116.65x = 4,856,079.65
  5. Step 5: Solve for x
    x = 4,856,079.65/2,116.65
  6. Step 6: Final answer
    x = 2,294.22

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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.