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Finding the Fourth Proportional to 4,113.59, 6,170.72 and 1,340.69

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Solution

The fourth proportional to 4,113.59, 6,170.72 and 1,340.69 is: 2,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.59 : 6,170.72 = 1,340.69 : x
  2. Step 2: Convert to fraction form
    4,113.59/6,170.72 = 1,340.69/x
  3. Step 3: Cross multiply
    4,113.59x = 6,170.72 × 1,340.69
  4. Step 4: Simplify right side
    4,113.59x = 8,272,985.04
  5. Step 5: Solve for x
    x = 8,272,985.04/4,113.59
  6. Step 6: Final answer
    x = 2,011.14

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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.