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Finding the Fourth Proportional to 2,061.32, 3,092.56 and 875.96

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Solution

The fourth proportional to 2,061.32, 3,092.56 and 875.96 is: 1,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.32 : 3,092.56 = 875.96 : x
  2. Step 2: Convert to fraction form
    2,061.32/3,092.56 = 875.96/x
  3. Step 3: Cross multiply
    2,061.32x = 3,092.56 × 875.96
  4. Step 4: Simplify right side
    2,061.32x = 2,708,958.86
  5. Step 5: Solve for x
    x = 2,708,958.86/2,061.32
  6. Step 6: Final answer
    x = 1,314.19

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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.