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Finding the Fourth Proportional to 2,656.56, 3,986.06 and 1,013.48

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Solution

The fourth proportional to 2,656.56, 3,986.06 and 1,013.48 is: 1,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.56 : 3,986.06 = 1,013.48 : x
  2. Step 2: Convert to fraction form
    2,656.56/3,986.06 = 1,013.48/x
  3. Step 3: Cross multiply
    2,656.56x = 3,986.06 × 1,013.48
  4. Step 4: Simplify right side
    2,656.56x = 4,039,767.09
  5. Step 5: Solve for x
    x = 4,039,767.09/2,656.56
  6. Step 6: Final answer
    x = 1,520.68

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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.