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Finding the Fourth Proportional to 1,578.10, 2,177.68 and 879.52

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Solution

The fourth proportional to 1,578.10, 2,177.68 and 879.52 is: 1,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.10 : 2,177.68 = 879.52 : x
  2. Step 2: Convert to fraction form
    1,578.10/2,177.68 = 879.52/x
  3. Step 3: Cross multiply
    1,578.10x = 2,177.68 × 879.52
  4. Step 4: Simplify right side
    1,578.10x = 1,915,313.11
  5. Step 5: Solve for x
    x = 1,915,313.11/1,578.10
  6. Step 6: Final answer
    x = 1,213.68

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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.