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Finding the Fourth Proportional to 2,454.86, 3,387.72 and 1,406.96

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Solution

The fourth proportional to 2,454.86, 3,387.72 and 1,406.96 is: 1,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.86 : 3,387.72 = 1,406.96 : x
  2. Step 2: Convert to fraction form
    2,454.86/3,387.72 = 1,406.96/x
  3. Step 3: Cross multiply
    2,454.86x = 3,387.72 × 1,406.96
  4. Step 4: Simplify right side
    2,454.86x = 4,766,386.53
  5. Step 5: Solve for x
    x = 4,766,386.53/2,454.86
  6. Step 6: Final answer
    x = 1,941.61

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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.