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Finding the Fourth Proportional to 1,561.92, 2,345.76 and 1,049.28

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Solution

The fourth proportional to 1,561.92, 2,345.76 and 1,049.28 is: 1,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.92 : 2,345.76 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,561.92/2,345.76 = 1,049.28/x
  3. Step 3: Cross multiply
    1,561.92x = 2,345.76 × 1,049.28
  4. Step 4: Simplify right side
    1,561.92x = 2,461,359.05
  5. Step 5: Solve for x
    x = 2,461,359.05/1,561.92
  6. Step 6: Final answer
    x = 1,575.85

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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.