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Finding the Fourth Proportional to 2,879.63, 4,320.46 and 931.83

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Solution

The fourth proportional to 2,879.63, 4,320.46 and 931.83 is: 1,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.63 : 4,320.46 = 931.83 : x
  2. Step 2: Convert to fraction form
    2,879.63/4,320.46 = 931.83/x
  3. Step 3: Cross multiply
    2,879.63x = 4,320.46 × 931.83
  4. Step 4: Simplify right side
    2,879.63x = 4,025,933.98
  5. Step 5: Solve for x
    x = 4,025,933.98/2,879.63
  6. Step 6: Final answer
    x = 1,398.08

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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.