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Finding the Fourth Proportional to 2,682.48, 4,023.92 and 1,038.32

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Solution

The fourth proportional to 2,682.48, 4,023.92 and 1,038.32 is: 1,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.48 : 4,023.92 = 1,038.32 : x
  2. Step 2: Convert to fraction form
    2,682.48/4,023.92 = 1,038.32/x
  3. Step 3: Cross multiply
    2,682.48x = 4,023.92 × 1,038.32
  4. Step 4: Simplify right side
    2,682.48x = 4,178,116.61
  5. Step 5: Solve for x
    x = 4,178,116.61/2,682.48
  6. Step 6: Final answer
    x = 1,557.56

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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.