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Finding the Fourth Proportional to 2,032.54, 3,049.08 and 937.96

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Solution

The fourth proportional to 2,032.54, 3,049.08 and 937.96 is: 1,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.54 : 3,049.08 = 937.96 : x
  2. Step 2: Convert to fraction form
    2,032.54/3,049.08 = 937.96/x
  3. Step 3: Cross multiply
    2,032.54x = 3,049.08 × 937.96
  4. Step 4: Simplify right side
    2,032.54x = 2,859,915.08
  5. Step 5: Solve for x
    x = 2,859,915.08/2,032.54
  6. Step 6: Final answer
    x = 1,407.06

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Why These Related Problems?

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