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Finding the Fourth Proportional to 1,885.67, 2,828.10 and 961.73

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Solution

The fourth proportional to 1,885.67, 2,828.10 and 961.73 is: 1,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.67 : 2,828.10 = 961.73 : x
  2. Step 2: Convert to fraction form
    1,885.67/2,828.10 = 961.73/x
  3. Step 3: Cross multiply
    1,885.67x = 2,828.10 × 961.73
  4. Step 4: Simplify right side
    1,885.67x = 2,719,868.61
  5. Step 5: Solve for x
    x = 2,719,868.61/1,885.67
  6. Step 6: Final answer
    x = 1,442.39

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1.5x scale

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.