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Finding the Fourth Proportional to 2,049.06, 3,071.93 and 642.76

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Solution

The fourth proportional to 2,049.06, 3,071.93 and 642.76 is: 963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.06 : 3,071.93 = 642.76 : x
  2. Step 2: Convert to fraction form
    2,049.06/3,071.93 = 642.76/x
  3. Step 3: Cross multiply
    2,049.06x = 3,071.93 × 642.76
  4. Step 4: Simplify right side
    2,049.06x = 1,974,513.73
  5. Step 5: Solve for x
    x = 1,974,513.73/2,049.06
  6. Step 6: Final answer
    x = 963.62

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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.