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Finding the Fourth Proportional to 1,616.03, 2,425.11 and 886.12

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Solution

The fourth proportional to 1,616.03, 2,425.11 and 886.12 is: 1,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.03 : 2,425.11 = 886.12 : x
  2. Step 2: Convert to fraction form
    1,616.03/2,425.11 = 886.12/x
  3. Step 3: Cross multiply
    1,616.03x = 2,425.11 × 886.12
  4. Step 4: Simplify right side
    1,616.03x = 2,148,938.47
  5. Step 5: Solve for x
    x = 2,148,938.47/1,616.03
  6. Step 6: Final answer
    x = 1,329.76

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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.