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Finding the Fourth Proportional to 2,879.02, 4,319.16 and 931.42

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Solution

The fourth proportional to 2,879.02, 4,319.16 and 931.42 is: 1,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.02 : 4,319.16 = 931.42 : x
  2. Step 2: Convert to fraction form
    2,879.02/4,319.16 = 931.42/x
  3. Step 3: Cross multiply
    2,879.02x = 4,319.16 × 931.42
  4. Step 4: Simplify right side
    2,879.02x = 4,022,952.01
  5. Step 5: Solve for x
    x = 4,022,952.01/2,879.02
  6. Step 6: Final answer
    x = 1,397.33

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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.