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Finding the Fourth Proportional to 2,146.97, 3,220.40 and 992.72

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Solution

The fourth proportional to 2,146.97, 3,220.40 and 992.72 is: 1,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.97 : 3,220.40 = 992.72 : x
  2. Step 2: Convert to fraction form
    2,146.97/3,220.40 = 992.72/x
  3. Step 3: Cross multiply
    2,146.97x = 3,220.40 × 992.72
  4. Step 4: Simplify right side
    2,146.97x = 3,196,955.49
  5. Step 5: Solve for x
    x = 3,196,955.49/2,146.97
  6. Step 6: Final answer
    x = 1,489.05

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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.