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Finding the Fourth Proportional to 2,158.56, 2,979.84 and 1,463.60

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Solution

The fourth proportional to 2,158.56, 2,979.84 and 1,463.60 is: 2,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.56 : 2,979.84 = 1,463.60 : x
  2. Step 2: Convert to fraction form
    2,158.56/2,979.84 = 1,463.60/x
  3. Step 3: Cross multiply
    2,158.56x = 2,979.84 × 1,463.60
  4. Step 4: Simplify right side
    2,158.56x = 4,361,293.82
  5. Step 5: Solve for x
    x = 4,361,293.82/2,158.56
  6. Step 6: Final answer
    x = 2,020.46

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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.