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Finding the Fourth Proportional to 2,879.35, 4,319.83 and 931.70

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Solution

The fourth proportional to 2,879.35, 4,319.83 and 931.70 is: 1,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.35 : 4,319.83 = 931.70 : x
  2. Step 2: Convert to fraction form
    2,879.35/4,319.83 = 931.70/x
  3. Step 3: Cross multiply
    2,879.35x = 4,319.83 × 931.70
  4. Step 4: Simplify right side
    2,879.35x = 4,024,785.61
  5. Step 5: Solve for x
    x = 4,024,785.61/2,879.35
  6. Step 6: Final answer
    x = 1,397.81

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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.