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Finding the Fourth Proportional to 2,451.95, 3,677.92 and 991.10

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Solution

The fourth proportional to 2,451.95, 3,677.92 and 991.10 is: 1,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.95 : 3,677.92 = 991.10 : x
  2. Step 2: Convert to fraction form
    2,451.95/3,677.92 = 991.10/x
  3. Step 3: Cross multiply
    2,451.95x = 3,677.92 × 991.10
  4. Step 4: Simplify right side
    2,451.95x = 3,645,181.56
  5. Step 5: Solve for x
    x = 3,645,181.56/2,451.95
  6. Step 6: Final answer
    x = 1,486.65

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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.