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Finding the Fourth Proportional to 3,108.64, 4,663.48 and 2,214.26

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Solution

The fourth proportional to 3,108.64, 4,663.48 and 2,214.26 is: 3,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.64 : 4,663.48 = 2,214.26 : x
  2. Step 2: Convert to fraction form
    3,108.64/4,663.48 = 2,214.26/x
  3. Step 3: Cross multiply
    3,108.64x = 4,663.48 × 2,214.26
  4. Step 4: Simplify right side
    3,108.64x = 10,326,154.16
  5. Step 5: Solve for x
    x = 10,326,154.16/3,108.64
  6. Step 6: Final answer
    x = 3,321.76

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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.