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Finding the Fourth Proportional to 3,142.58, 4,332.02 and 1,961.60

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Solution

The fourth proportional to 3,142.58, 4,332.02 and 1,961.60 is: 2,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.58 : 4,332.02 = 1,961.60 : x
  2. Step 2: Convert to fraction form
    3,142.58/4,332.02 = 1,961.60/x
  3. Step 3: Cross multiply
    3,142.58x = 4,332.02 × 1,961.60
  4. Step 4: Simplify right side
    3,142.58x = 8,497,658.96
  5. Step 5: Solve for x
    x = 8,497,658.96/3,142.58
  6. Step 6: Final answer
    x = 2,704.04

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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.