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Finding the Fourth Proportional to 2,454.53, 3,387.35 and 1,406.80

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Solution

The fourth proportional to 2,454.53, 3,387.35 and 1,406.80 is: 1,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.53 : 3,387.35 = 1,406.80 : x
  2. Step 2: Convert to fraction form
    2,454.53/3,387.35 = 1,406.80/x
  3. Step 3: Cross multiply
    2,454.53x = 3,387.35 × 1,406.80
  4. Step 4: Simplify right side
    2,454.53x = 4,765,311.12
  5. Step 5: Solve for x
    x = 4,765,311.12/2,454.53
  6. Step 6: Final answer
    x = 1,941.43

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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.