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Finding the Fourth Proportional to 4,152.96, 6,232.68 and 1,560.96

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Solution

The fourth proportional to 4,152.96, 6,232.68 and 1,560.96 is: 2,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.96 : 6,232.68 = 1,560.96 : x
  2. Step 2: Convert to fraction form
    4,152.96/6,232.68 = 1,560.96/x
  3. Step 3: Cross multiply
    4,152.96x = 6,232.68 × 1,560.96
  4. Step 4: Simplify right side
    4,152.96x = 9,728,964.17
  5. Step 5: Solve for x
    x = 9,728,964.17/4,152.96
  6. Step 6: Final answer
    x = 2,342.66

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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.