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Finding the Fourth Proportional to 1,578.54, 2,177.22 and 1,158.75

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Solution

The fourth proportional to 1,578.54, 2,177.22 and 1,158.75 is: 1,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.54 : 2,177.22 = 1,158.75 : x
  2. Step 2: Convert to fraction form
    1,578.54/2,177.22 = 1,158.75/x
  3. Step 3: Cross multiply
    1,578.54x = 2,177.22 × 1,158.75
  4. Step 4: Simplify right side
    1,578.54x = 2,522,853.68
  5. Step 5: Solve for x
    x = 2,522,853.68/1,578.54
  6. Step 6: Final answer
    x = 1,598.22

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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.