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Finding the Fourth Proportional to 2,032.70, 3,049.49 and 716.40

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Solution

The fourth proportional to 2,032.70, 3,049.49 and 716.40 is: 1,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.70 : 3,049.49 = 716.40 : x
  2. Step 2: Convert to fraction form
    2,032.70/3,049.49 = 716.40/x
  3. Step 3: Cross multiply
    2,032.70x = 3,049.49 × 716.40
  4. Step 4: Simplify right side
    2,032.70x = 2,184,651.05
  5. Step 5: Solve for x
    x = 2,184,651.05/2,032.70
  6. Step 6: Final answer
    x = 1,074.75

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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.