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Finding the Fourth Proportional to 2,304.80, 3,459.36 and 1,265.28

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Solution

The fourth proportional to 2,304.80, 3,459.36 and 1,265.28 is: 1,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.80 : 3,459.36 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    2,304.80/3,459.36 = 1,265.28/x
  3. Step 3: Cross multiply
    2,304.80x = 3,459.36 × 1,265.28
  4. Step 4: Simplify right side
    2,304.80x = 4,377,059.02
  5. Step 5: Solve for x
    x = 4,377,059.02/2,304.80
  6. Step 6: Final answer
    x = 1,899.11

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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.