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Finding the Fourth Proportional to 2,454.40, 3,387.04 and 1,406.40

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Solution

The fourth proportional to 2,454.40, 3,387.04 and 1,406.40 is: 1,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.40 : 3,387.04 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    2,454.40/3,387.04 = 1,406.40/x
  3. Step 3: Cross multiply
    2,454.40x = 3,387.04 × 1,406.40
  4. Step 4: Simplify right side
    2,454.40x = 4,763,533.06
  5. Step 5: Solve for x
    x = 4,763,533.06/2,454.40
  6. Step 6: Final answer
    x = 1,940.81

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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.