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Finding the Fourth Proportional to 1,578.36, 2,177.46 and 948.72

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Solution

The fourth proportional to 1,578.36, 2,177.46 and 948.72 is: 1,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.36 : 2,177.46 = 948.72 : x
  2. Step 2: Convert to fraction form
    1,578.36/2,177.46 = 948.72/x
  3. Step 3: Cross multiply
    1,578.36x = 2,177.46 × 948.72
  4. Step 4: Simplify right side
    1,578.36x = 2,065,799.85
  5. Step 5: Solve for x
    x = 2,065,799.85/1,578.36
  6. Step 6: Final answer
    x = 1,308.83

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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.