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Finding the Fourth Proportional to 2,854.12, 4,282.04 and 1,468.40

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Solution

The fourth proportional to 2,854.12, 4,282.04 and 1,468.40 is: 2,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.12 : 4,282.04 = 1,468.40 : x
  2. Step 2: Convert to fraction form
    2,854.12/4,282.04 = 1,468.40/x
  3. Step 3: Cross multiply
    2,854.12x = 4,282.04 × 1,468.40
  4. Step 4: Simplify right side
    2,854.12x = 6,287,747.54
  5. Step 5: Solve for x
    x = 6,287,747.54/2,854.12
  6. Step 6: Final answer
    x = 2,203.04

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