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Finding the Fourth Proportional to 2,879.36, 4,319.76 and 931.76

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Solution

The fourth proportional to 2,879.36, 4,319.76 and 931.76 is: 1,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.36 : 4,319.76 = 931.76 : x
  2. Step 2: Convert to fraction form
    2,879.36/4,319.76 = 931.76/x
  3. Step 3: Cross multiply
    2,879.36x = 4,319.76 × 931.76
  4. Step 4: Simplify right side
    2,879.36x = 4,024,979.58
  5. Step 5: Solve for x
    x = 4,024,979.58/2,879.36
  6. Step 6: Final answer
    x = 1,397.87

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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.