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Finding the Fourth Proportional to 2,306.88, 3,452.06 and 1,328.18

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Solution

The fourth proportional to 2,306.88, 3,452.06 and 1,328.18 is: 1,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.88 : 3,452.06 = 1,328.18 : x
  2. Step 2: Convert to fraction form
    2,306.88/3,452.06 = 1,328.18/x
  3. Step 3: Cross multiply
    2,306.88x = 3,452.06 × 1,328.18
  4. Step 4: Simplify right side
    2,306.88x = 4,584,957.05
  5. Step 5: Solve for x
    x = 4,584,957.05/2,306.88
  6. Step 6: Final answer
    x = 1,987.51

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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.