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Finding the Fourth Proportional to 3,214.06, 4,821.10 and 992.86

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Solution

The fourth proportional to 3,214.06, 4,821.10 and 992.86 is: 1,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.06 : 4,821.10 = 992.86 : x
  2. Step 2: Convert to fraction form
    3,214.06/4,821.10 = 992.86/x
  3. Step 3: Cross multiply
    3,214.06x = 4,821.10 × 992.86
  4. Step 4: Simplify right side
    3,214.06x = 4,786,677.35
  5. Step 5: Solve for x
    x = 4,786,677.35/3,214.06
  6. Step 6: Final answer
    x = 1,489.29

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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.