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Finding the Fourth Proportional to 1,382.02, 2,069.34 and 731.38

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Solution

The fourth proportional to 1,382.02, 2,069.34 and 731.38 is: 1,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.02 : 2,069.34 = 731.38 : x
  2. Step 2: Convert to fraction form
    1,382.02/2,069.34 = 731.38/x
  3. Step 3: Cross multiply
    1,382.02x = 2,069.34 × 731.38
  4. Step 4: Simplify right side
    1,382.02x = 1,513,473.89
  5. Step 5: Solve for x
    x = 1,513,473.89/1,382.02
  6. Step 6: Final answer
    x = 1,095.12

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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.