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Finding the Fourth Proportional to 2,277.76, 3,416.52 and 634.42

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Solution

The fourth proportional to 2,277.76, 3,416.52 and 634.42 is: 951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.76 : 3,416.52 = 634.42 : x
  2. Step 2: Convert to fraction form
    2,277.76/3,416.52 = 634.42/x
  3. Step 3: Cross multiply
    2,277.76x = 3,416.52 × 634.42
  4. Step 4: Simplify right side
    2,277.76x = 2,167,508.62
  5. Step 5: Solve for x
    x = 2,167,508.62/2,277.76
  6. Step 6: Final answer
    x = 951.60

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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.