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Finding the Fourth Proportional to 2,867.76, 4,301.88 and 1,480.56

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Solution

The fourth proportional to 2,867.76, 4,301.88 and 1,480.56 is: 2,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.76 : 4,301.88 = 1,480.56 : x
  2. Step 2: Convert to fraction form
    2,867.76/4,301.88 = 1,480.56/x
  3. Step 3: Cross multiply
    2,867.76x = 4,301.88 × 1,480.56
  4. Step 4: Simplify right side
    2,867.76x = 6,369,191.45
  5. Step 5: Solve for x
    x = 6,369,191.45/2,867.76
  6. Step 6: Final answer
    x = 2,220.96

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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.