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Finding the Fourth Proportional to 2,029.28, 3,039.86 and 932.14

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Solution

The fourth proportional to 2,029.28, 3,039.86 and 932.14 is: 1,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.28 : 3,039.86 = 932.14 : x
  2. Step 2: Convert to fraction form
    2,029.28/3,039.86 = 932.14/x
  3. Step 3: Cross multiply
    2,029.28x = 3,039.86 × 932.14
  4. Step 4: Simplify right side
    2,029.28x = 2,833,575.10
  5. Step 5: Solve for x
    x = 2,833,575.10/2,029.28
  6. Step 6: Final answer
    x = 1,396.35

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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.