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Finding the Fourth Proportional to 2,304.59, 3,448.38 and 1,380.80

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Solution

The fourth proportional to 2,304.59, 3,448.38 and 1,380.80 is: 2,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.59 : 3,448.38 = 1,380.80 : x
  2. Step 2: Convert to fraction form
    2,304.59/3,448.38 = 1,380.80/x
  3. Step 3: Cross multiply
    2,304.59x = 3,448.38 × 1,380.80
  4. Step 4: Simplify right side
    2,304.59x = 4,761,523.10
  5. Step 5: Solve for x
    x = 4,761,523.10/2,304.59
  6. Step 6: Final answer
    x = 2,066.10

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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.