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Finding the Fourth Proportional to 2,486.22, 3,730 and 2,214.18

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Solution

The fourth proportional to 2,486.22, 3,730 and 2,214.18 is: 3,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.22 : 3,730 = 2,214.18 : x
  2. Step 2: Convert to fraction form
    2,486.22/3,730 = 2,214.18/x
  3. Step 3: Cross multiply
    2,486.22x = 3,730 × 2,214.18
  4. Step 4: Simplify right side
    2,486.22x = 8,258,891.40
  5. Step 5: Solve for x
    x = 8,258,891.40/2,486.22
  6. Step 6: Final answer
    x = 3,321.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.