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Finding the Fourth Proportional to 2,879.75, 4,320.34 and 1,031.00

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Solution

The fourth proportional to 2,879.75, 4,320.34 and 1,031.00 is: 1,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.75 : 4,320.34 = 1,031.00 : x
  2. Step 2: Convert to fraction form
    2,879.75/4,320.34 = 1,031.00/x
  3. Step 3: Cross multiply
    2,879.75x = 4,320.34 × 1,031.00
  4. Step 4: Simplify right side
    2,879.75x = 4,454,246.36
  5. Step 5: Solve for x
    x = 4,454,246.36/2,879.75
  6. Step 6: Final answer
    x = 1,546.75

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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.