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Finding the Fourth Proportional to 2,657.30, 3,984.36 and 1,013.97

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Solution

The fourth proportional to 2,657.30, 3,984.36 and 1,013.97 is: 1,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.30 : 3,984.36 = 1,013.97 : x
  2. Step 2: Convert to fraction form
    2,657.30/3,984.36 = 1,013.97/x
  3. Step 3: Cross multiply
    2,657.30x = 3,984.36 × 1,013.97
  4. Step 4: Simplify right side
    2,657.30x = 4,040,021.51
  5. Step 5: Solve for x
    x = 4,040,021.51/2,657.30
  6. Step 6: Final answer
    x = 1,520.35

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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.