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Finding the Fourth Proportional to 2,854.62, 4,282.05 and 1,395

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Solution

The fourth proportional to 2,854.62, 4,282.05 and 1,395 is: 2,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.62 : 4,282.05 = 1,395 : x
  2. Step 2: Convert to fraction form
    2,854.62/4,282.05 = 1,395/x
  3. Step 3: Cross multiply
    2,854.62x = 4,282.05 × 1,395
  4. Step 4: Simplify right side
    2,854.62x = 5,973,459.75
  5. Step 5: Solve for x
    x = 5,973,459.75/2,854.62
  6. Step 6: Final answer
    x = 2,092.56

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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.