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Finding the Fourth Proportional to 2,148.32, 3,223.96 and 849.68

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Solution

The fourth proportional to 2,148.32, 3,223.96 and 849.68 is: 1,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.32 : 3,223.96 = 849.68 : x
  2. Step 2: Convert to fraction form
    2,148.32/3,223.96 = 849.68/x
  3. Step 3: Cross multiply
    2,148.32x = 3,223.96 × 849.68
  4. Step 4: Simplify right side
    2,148.32x = 2,739,334.33
  5. Step 5: Solve for x
    x = 2,739,334.33/2,148.32
  6. Step 6: Final answer
    x = 1,275.11

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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.