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Finding the Fourth Proportional to 1,689.32, 2,330.91 and 1,059.62

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Solution

The fourth proportional to 1,689.32, 2,330.91 and 1,059.62 is: 1,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.32 : 2,330.91 = 1,059.62 : x
  2. Step 2: Convert to fraction form
    1,689.32/2,330.91 = 1,059.62/x
  3. Step 3: Cross multiply
    1,689.32x = 2,330.91 × 1,059.62
  4. Step 4: Simplify right side
    1,689.32x = 2,469,867.20
  5. Step 5: Solve for x
    x = 2,469,867.20/1,689.32
  6. Step 6: Final answer
    x = 1,462.05

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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.