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Finding the Fourth Proportional to 2,304.65, 3,448.47 and 1,380.85

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Solution

The fourth proportional to 2,304.65, 3,448.47 and 1,380.85 is: 2,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.65 : 3,448.47 = 1,380.85 : x
  2. Step 2: Convert to fraction form
    2,304.65/3,448.47 = 1,380.85/x
  3. Step 3: Cross multiply
    2,304.65x = 3,448.47 × 1,380.85
  4. Step 4: Simplify right side
    2,304.65x = 4,761,816.36
  5. Step 5: Solve for x
    x = 4,761,816.36/2,304.65
  6. Step 6: Final answer
    x = 2,066.18

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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.