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Finding the Fourth Proportional to 2,452.06, 3,678.24 and 991.17

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Solution

The fourth proportional to 2,452.06, 3,678.24 and 991.17 is: 1,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.06 : 3,678.24 = 991.17 : x
  2. Step 2: Convert to fraction form
    2,452.06/3,678.24 = 991.17/x
  3. Step 3: Cross multiply
    2,452.06x = 3,678.24 × 991.17
  4. Step 4: Simplify right side
    2,452.06x = 3,645,761.14
  5. Step 5: Solve for x
    x = 3,645,761.14/2,452.06
  6. Step 6: Final answer
    x = 1,486.82

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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.