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Finding the Fourth Proportional to 2,400.72, 3,314.10 and 1,405.86

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Solution

The fourth proportional to 2,400.72, 3,314.10 and 1,405.86 is: 1,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.72 : 3,314.10 = 1,405.86 : x
  2. Step 2: Convert to fraction form
    2,400.72/3,314.10 = 1,405.86/x
  3. Step 3: Cross multiply
    2,400.72x = 3,314.10 × 1,405.86
  4. Step 4: Simplify right side
    2,400.72x = 4,659,160.63
  5. Step 5: Solve for x
    x = 4,659,160.63/2,400.72
  6. Step 6: Final answer
    x = 1,940.73

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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.