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Finding the Fourth Proportional to 2,219.76, 3,327 and 987.12

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Solution

The fourth proportional to 2,219.76, 3,327 and 987.12 is: 1,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.76 : 3,327 = 987.12 : x
  2. Step 2: Convert to fraction form
    2,219.76/3,327 = 987.12/x
  3. Step 3: Cross multiply
    2,219.76x = 3,327 × 987.12
  4. Step 4: Simplify right side
    2,219.76x = 3,284,148.24
  5. Step 5: Solve for x
    x = 3,284,148.24/2,219.76
  6. Step 6: Final answer
    x = 1,479.51

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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.