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Finding the Fourth Proportional to 2,971.02, 4,456.53 and 891.24

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Solution

The fourth proportional to 2,971.02, 4,456.53 and 891.24 is: 1,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.02 : 4,456.53 = 891.24 : x
  2. Step 2: Convert to fraction form
    2,971.02/4,456.53 = 891.24/x
  3. Step 3: Cross multiply
    2,971.02x = 4,456.53 × 891.24
  4. Step 4: Simplify right side
    2,971.02x = 3,971,837.80
  5. Step 5: Solve for x
    x = 3,971,837.80/2,971.02
  6. Step 6: Final answer
    x = 1,336.86

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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.