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Finding the Fourth Proportional to 2,032.74, 3,049.10 and 716.19

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Solution

The fourth proportional to 2,032.74, 3,049.10 and 716.19 is: 1,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.74 : 3,049.10 = 716.19 : x
  2. Step 2: Convert to fraction form
    2,032.74/3,049.10 = 716.19/x
  3. Step 3: Cross multiply
    2,032.74x = 3,049.10 × 716.19
  4. Step 4: Simplify right side
    2,032.74x = 2,183,731.35
  5. Step 5: Solve for x
    x = 2,183,731.35/2,032.74
  6. Step 6: Final answer
    x = 1,074.28

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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.