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Finding the Fourth Proportional to 1,689.28, 2,534.12 and 715.26

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Solution

The fourth proportional to 1,689.28, 2,534.12 and 715.26 is: 1,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.28 : 2,534.12 = 715.26 : x
  2. Step 2: Convert to fraction form
    1,689.28/2,534.12 = 715.26/x
  3. Step 3: Cross multiply
    1,689.28x = 2,534.12 × 715.26
  4. Step 4: Simplify right side
    1,689.28x = 1,812,554.67
  5. Step 5: Solve for x
    x = 1,812,554.67/1,689.28
  6. Step 6: Final answer
    x = 1,072.97

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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.