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Finding the Fourth Proportional to 2,854.78, 4,282.17 and 2,281.30

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Solution

The fourth proportional to 2,854.78, 4,282.17 and 2,281.30 is: 3,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.78 : 4,282.17 = 2,281.30 : x
  2. Step 2: Convert to fraction form
    2,854.78/4,282.17 = 2,281.30/x
  3. Step 3: Cross multiply
    2,854.78x = 4,282.17 × 2,281.30
  4. Step 4: Simplify right side
    2,854.78x = 9,768,914.42
  5. Step 5: Solve for x
    x = 9,768,914.42/2,854.78
  6. Step 6: Final answer
    x = 3,421.95

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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.