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Finding the Fourth Proportional to 2,922.41, 4,383.44 and 974.62

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Solution

The fourth proportional to 2,922.41, 4,383.44 and 974.62 is: 1,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.41 : 4,383.44 = 974.62 : x
  2. Step 2: Convert to fraction form
    2,922.41/4,383.44 = 974.62/x
  3. Step 3: Cross multiply
    2,922.41x = 4,383.44 × 974.62
  4. Step 4: Simplify right side
    2,922.41x = 4,272,188.29
  5. Step 5: Solve for x
    x = 4,272,188.29/2,922.41
  6. Step 6: Final answer
    x = 1,461.87

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Similar ratio
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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.