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Finding the Fourth Proportional to 2,972.26, 4,103.04 and 1,854.73

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Solution

The fourth proportional to 2,972.26, 4,103.04 and 1,854.73 is: 2,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.26 : 4,103.04 = 1,854.73 : x
  2. Step 2: Convert to fraction form
    2,972.26/4,103.04 = 1,854.73/x
  3. Step 3: Cross multiply
    2,972.26x = 4,103.04 × 1,854.73
  4. Step 4: Simplify right side
    2,972.26x = 7,610,031.38
  5. Step 5: Solve for x
    x = 7,610,031.38/2,972.26
  6. Step 6: Final answer
    x = 2,560.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.