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Finding the Fourth Proportional to 2,146.56, 2,962.02 and 1,202.17

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Solution

The fourth proportional to 2,146.56, 2,962.02 and 1,202.17 is: 1,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.56 : 2,962.02 = 1,202.17 : x
  2. Step 2: Convert to fraction form
    2,146.56/2,962.02 = 1,202.17/x
  3. Step 3: Cross multiply
    2,146.56x = 2,962.02 × 1,202.17
  4. Step 4: Simplify right side
    2,146.56x = 3,560,839.15
  5. Step 5: Solve for x
    x = 3,560,839.15/2,146.56
  6. Step 6: Final answer
    x = 1,658.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.