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Finding the Fourth Proportional to 3,098.68, 4,272.90 and 2,214.16

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Solution

The fourth proportional to 3,098.68, 4,272.90 and 2,214.16 is: 3,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.68 : 4,272.90 = 2,214.16 : x
  2. Step 2: Convert to fraction form
    3,098.68/4,272.90 = 2,214.16/x
  3. Step 3: Cross multiply
    3,098.68x = 4,272.90 × 2,214.16
  4. Step 4: Simplify right side
    3,098.68x = 9,460,884.26
  5. Step 5: Solve for x
    x = 9,460,884.26/3,098.68
  6. Step 6: Final answer
    x = 3,053.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.