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Finding the Fourth Proportional to 2,854.01, 4,281.71 and 979.88

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Solution

The fourth proportional to 2,854.01, 4,281.71 and 979.88 is: 1,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.01 : 4,281.71 = 979.88 : x
  2. Step 2: Convert to fraction form
    2,854.01/4,281.71 = 979.88/x
  3. Step 3: Cross multiply
    2,854.01x = 4,281.71 × 979.88
  4. Step 4: Simplify right side
    2,854.01x = 4,195,535.69
  5. Step 5: Solve for x
    x = 4,195,535.69/2,854.01
  6. Step 6: Final answer
    x = 1,470.05

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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.