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Finding the Fourth Proportional to 2,978.02, 4,456.50 and 2,196.18

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Solution

The fourth proportional to 2,978.02, 4,456.50 and 2,196.18 is: 3,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.02 : 4,456.50 = 2,196.18 : x
  2. Step 2: Convert to fraction form
    2,978.02/4,456.50 = 2,196.18/x
  3. Step 3: Cross multiply
    2,978.02x = 4,456.50 × 2,196.18
  4. Step 4: Simplify right side
    2,978.02x = 9,787,276.17
  5. Step 5: Solve for x
    x = 9,787,276.17/2,978.02
  6. Step 6: Final answer
    x = 3,286.50

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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.