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Finding the Fourth Proportional to 1,560.96, 2,152.23 and 1,089.27

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Solution

The fourth proportional to 1,560.96, 2,152.23 and 1,089.27 is: 1,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.96 : 2,152.23 = 1,089.27 : x
  2. Step 2: Convert to fraction form
    1,560.96/2,152.23 = 1,089.27/x
  3. Step 3: Cross multiply
    1,560.96x = 2,152.23 × 1,089.27
  4. Step 4: Simplify right side
    1,560.96x = 2,344,359.57
  5. Step 5: Solve for x
    x = 2,344,359.57/1,560.96
  6. Step 6: Final answer
    x = 1,501.87

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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.