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Finding the Fourth Proportional to 3,139.80, 4,332.78 and 1,742.64

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Solution

The fourth proportional to 3,139.80, 4,332.78 and 1,742.64 is: 2,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.80 : 4,332.78 = 1,742.64 : x
  2. Step 2: Convert to fraction form
    3,139.80/4,332.78 = 1,742.64/x
  3. Step 3: Cross multiply
    3,139.80x = 4,332.78 × 1,742.64
  4. Step 4: Simplify right side
    3,139.80x = 7,550,475.74
  5. Step 5: Solve for x
    x = 7,550,475.74/3,139.80
  6. Step 6: Final answer
    x = 2,404.76

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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.