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Finding the Fourth Proportional to 2,400.16, 3,311.76 and 1,468

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Solution

The fourth proportional to 2,400.16, 3,311.76 and 1,468 is: 2,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.16 : 3,311.76 = 1,468 : x
  2. Step 2: Convert to fraction form
    2,400.16/3,311.76 = 1,468/x
  3. Step 3: Cross multiply
    2,400.16x = 3,311.76 × 1,468
  4. Step 4: Simplify right side
    2,400.16x = 4,861,663.68
  5. Step 5: Solve for x
    x = 4,861,663.68/2,400.16
  6. Step 6: Final answer
    x = 2,025.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.