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Finding the Fourth Proportional to 2,158.56, 3,238.75 and 1,062.93

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Solution

The fourth proportional to 2,158.56, 3,238.75 and 1,062.93 is: 1,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.56 : 3,238.75 = 1,062.93 : x
  2. Step 2: Convert to fraction form
    2,158.56/3,238.75 = 1,062.93/x
  3. Step 3: Cross multiply
    2,158.56x = 3,238.75 × 1,062.93
  4. Step 4: Simplify right side
    2,158.56x = 3,442,578.01
  5. Step 5: Solve for x
    x = 3,442,578.01/2,158.56
  6. Step 6: Final answer
    x = 1,594.85

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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.