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Finding the Fourth Proportional to 2,207.66, 3,046.16 and 1,323.44

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Solution

The fourth proportional to 2,207.66, 3,046.16 and 1,323.44 is: 1,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.66 : 3,046.16 = 1,323.44 : x
  2. Step 2: Convert to fraction form
    2,207.66/3,046.16 = 1,323.44/x
  3. Step 3: Cross multiply
    2,207.66x = 3,046.16 × 1,323.44
  4. Step 4: Simplify right side
    2,207.66x = 4,031,402.05
  5. Step 5: Solve for x
    x = 4,031,402.05/2,207.66
  6. Step 6: Final answer
    x = 1,826.10

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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.