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Finding the Fourth Proportional to 1,731.65, 2,384.15 and 1,532.16

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Solution

The fourth proportional to 1,731.65, 2,384.15 and 1,532.16 is: 2,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.65 : 2,384.15 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    1,731.65/2,384.15 = 1,532.16/x
  3. Step 3: Cross multiply
    1,731.65x = 2,384.15 × 1,532.16
  4. Step 4: Simplify right side
    1,731.65x = 3,652,891.60
  5. Step 5: Solve for x
    x = 3,652,891.60/1,731.65
  6. Step 6: Final answer
    x = 2,109.49

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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.