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Finding the Fourth Proportional to 4,240.86, 6,359.72 and 1,466.78

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Solution

The fourth proportional to 4,240.86, 6,359.72 and 1,466.78 is: 2,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.86 : 6,359.72 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    4,240.86/6,359.72 = 1,466.78/x
  3. Step 3: Cross multiply
    4,240.86x = 6,359.72 × 1,466.78
  4. Step 4: Simplify right side
    4,240.86x = 9,328,310.10
  5. Step 5: Solve for x
    x = 9,328,310.10/4,240.86
  6. Step 6: Final answer
    x = 2,199.63

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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.