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Finding the Fourth Proportional to 2,304.08, 3,454.68 and 1,278.80

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Solution

The fourth proportional to 2,304.08, 3,454.68 and 1,278.80 is: 1,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.08 : 3,454.68 = 1,278.80 : x
  2. Step 2: Convert to fraction form
    2,304.08/3,454.68 = 1,278.80/x
  3. Step 3: Cross multiply
    2,304.08x = 3,454.68 × 1,278.80
  4. Step 4: Simplify right side
    2,304.08x = 4,417,844.78
  5. Step 5: Solve for x
    x = 4,417,844.78/2,304.08
  6. Step 6: Final answer
    x = 1,917.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.