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Finding the Fourth Proportional to 2,546.72, 3,510 and 2,191.76

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Solution

The fourth proportional to 2,546.72, 3,510 and 2,191.76 is: 3,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.72 : 3,510 = 2,191.76 : x
  2. Step 2: Convert to fraction form
    2,546.72/3,510 = 2,191.76/x
  3. Step 3: Cross multiply
    2,546.72x = 3,510 × 2,191.76
  4. Step 4: Simplify right side
    2,546.72x = 7,693,060.05
  5. Step 5: Solve for x
    x = 7,693,060.05/2,546.72
  6. Step 6: Final answer
    x = 3,020.78

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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.