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Finding the Fourth Proportional to 2,454.75, 3,387.56 and 1,407.42

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Solution

The fourth proportional to 2,454.75, 3,387.56 and 1,407.42 is: 1,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.75 : 3,387.56 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    2,454.75/3,387.56 = 1,407.42/x
  3. Step 3: Cross multiply
    2,454.75x = 3,387.56 × 1,407.42
  4. Step 4: Simplify right side
    2,454.75x = 4,767,712.66
  5. Step 5: Solve for x
    x = 4,767,712.66/2,454.75
  6. Step 6: Final answer
    x = 1,942.24

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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.