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Finding the Fourth Proportional to 2,854.50, 4,281.73 and 1,468.22

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Solution

The fourth proportional to 2,854.50, 4,281.73 and 1,468.22 is: 2,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.50 : 4,281.73 = 1,468.22 : x
  2. Step 2: Convert to fraction form
    2,854.50/4,281.73 = 1,468.22/x
  3. Step 3: Cross multiply
    2,854.50x = 4,281.73 × 1,468.22
  4. Step 4: Simplify right side
    2,854.50x = 6,286,517.95
  5. Step 5: Solve for x
    x = 6,286,517.95/2,854.50
  6. Step 6: Final answer
    x = 2,202.32

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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.