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Finding the Fourth Proportional to 1,689.28, 2,329.93 and 1,129.57

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Solution

The fourth proportional to 1,689.28, 2,329.93 and 1,129.57 is: 1,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.28 : 2,329.93 = 1,129.57 : x
  2. Step 2: Convert to fraction form
    1,689.28/2,329.93 = 1,129.57/x
  3. Step 3: Cross multiply
    1,689.28x = 2,329.93 × 1,129.57
  4. Step 4: Simplify right side
    1,689.28x = 2,631,819.03
  5. Step 5: Solve for x
    x = 2,631,819.03/1,689.28
  6. Step 6: Final answer
    x = 1,557.95

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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.