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Finding the Fourth Proportional to 3,155.28, 4,354.64 and 1,977.52

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Solution

The fourth proportional to 3,155.28, 4,354.64 and 1,977.52 is: 2,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.28 : 4,354.64 = 1,977.52 : x
  2. Step 2: Convert to fraction form
    3,155.28/4,354.64 = 1,977.52/x
  3. Step 3: Cross multiply
    3,155.28x = 4,354.64 × 1,977.52
  4. Step 4: Simplify right side
    3,155.28x = 8,611,387.69
  5. Step 5: Solve for x
    x = 8,611,387.69/3,155.28
  6. Step 6: Final answer
    x = 2,729.20

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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.