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Finding the Fourth Proportional to 2,854.91, 4,281.68 and 980.60

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Solution

The fourth proportional to 2,854.91, 4,281.68 and 980.60 is: 1,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.91 : 4,281.68 = 980.60 : x
  2. Step 2: Convert to fraction form
    2,854.91/4,281.68 = 980.60/x
  3. Step 3: Cross multiply
    2,854.91x = 4,281.68 × 980.60
  4. Step 4: Simplify right side
    2,854.91x = 4,198,596.45
  5. Step 5: Solve for x
    x = 4,198,596.45/2,854.91
  6. Step 6: Final answer
    x = 1,470.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.