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Finding the Fourth Proportional to 4,180.55, 6,269.13 and 1,713.69

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Solution

The fourth proportional to 4,180.55, 6,269.13 and 1,713.69 is: 2,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.55 : 6,269.13 = 1,713.69 : x
  2. Step 2: Convert to fraction form
    4,180.55/6,269.13 = 1,713.69/x
  3. Step 3: Cross multiply
    4,180.55x = 6,269.13 × 1,713.69
  4. Step 4: Simplify right side
    4,180.55x = 10,743,345.39
  5. Step 5: Solve for x
    x = 10,743,345.39/4,180.55
  6. Step 6: Final answer
    x = 2,569.84

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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.