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Finding the Fourth Proportional to 4,180.74, 6,263 and 2,326.24

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Solution

The fourth proportional to 4,180.74, 6,263 and 2,326.24 is: 3,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.74 : 6,263 = 2,326.24 : x
  2. Step 2: Convert to fraction form
    4,180.74/6,263 = 2,326.24/x
  3. Step 3: Cross multiply
    4,180.74x = 6,263 × 2,326.24
  4. Step 4: Simplify right side
    4,180.74x = 14,569,241.12
  5. Step 5: Solve for x
    x = 14,569,241.12/4,180.74
  6. Step 6: Final answer
    x = 3,484.85

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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.