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Finding the Fourth Proportional to 3,155.92, 4,352.34 and 1,977.12

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Solution

The fourth proportional to 3,155.92, 4,352.34 and 1,977.12 is: 2,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.92 : 4,352.34 = 1,977.12 : x
  2. Step 2: Convert to fraction form
    3,155.92/4,352.34 = 1,977.12/x
  3. Step 3: Cross multiply
    3,155.92x = 4,352.34 × 1,977.12
  4. Step 4: Simplify right side
    3,155.92x = 8,605,098.46
  5. Step 5: Solve for x
    x = 8,605,098.46/3,155.92
  6. Step 6: Final answer
    x = 2,726.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.