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Finding the Fourth Proportional to 1,348.16, 2,024.04 and 1,304.42

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Solution

The fourth proportional to 1,348.16, 2,024.04 and 1,304.42 is: 1,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.16 : 2,024.04 = 1,304.42 : x
  2. Step 2: Convert to fraction form
    1,348.16/2,024.04 = 1,304.42/x
  3. Step 3: Cross multiply
    1,348.16x = 2,024.04 × 1,304.42
  4. Step 4: Simplify right side
    1,348.16x = 2,640,198.26
  5. Step 5: Solve for x
    x = 2,640,198.26/1,348.16
  6. Step 6: Final answer
    x = 1,958.37

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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.