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Finding the Fourth Proportional to 2,657.12, 3,984.12 and 1,013.78

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Solution

The fourth proportional to 2,657.12, 3,984.12 and 1,013.78 is: 1,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.12 : 3,984.12 = 1,013.78 : x
  2. Step 2: Convert to fraction form
    2,657.12/3,984.12 = 1,013.78/x
  3. Step 3: Cross multiply
    2,657.12x = 3,984.12 × 1,013.78
  4. Step 4: Simplify right side
    2,657.12x = 4,039,021.17
  5. Step 5: Solve for x
    x = 4,039,021.17/2,657.12
  6. Step 6: Final answer
    x = 1,520.07

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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.