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Finding the Fourth Proportional to 2,304.08, 3,453.16 and 1,380.16

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Solution

The fourth proportional to 2,304.08, 3,453.16 and 1,380.16 is: 2,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.08 : 3,453.16 = 1,380.16 : x
  2. Step 2: Convert to fraction form
    2,304.08/3,453.16 = 1,380.16/x
  3. Step 3: Cross multiply
    2,304.08x = 3,453.16 × 1,380.16
  4. Step 4: Simplify right side
    2,304.08x = 4,765,913.31
  5. Step 5: Solve for x
    x = 4,765,913.31/2,304.08
  6. Step 6: Final answer
    x = 2,068.47

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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.