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Finding the Fourth Proportional to 4,117.88, 6,178.18 and 1,344.66

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Solution

The fourth proportional to 4,117.88, 6,178.18 and 1,344.66 is: 2,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.88 : 6,178.18 = 1,344.66 : x
  2. Step 2: Convert to fraction form
    4,117.88/6,178.18 = 1,344.66/x
  3. Step 3: Cross multiply
    4,117.88x = 6,178.18 × 1,344.66
  4. Step 4: Simplify right side
    4,117.88x = 8,307,551.52
  5. Step 5: Solve for x
    x = 8,307,551.52/4,117.88
  6. Step 6: Final answer
    x = 2,017.43

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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.