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Finding the Fourth Proportional to 2,034.70, 3,052.49 and 718.40

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Solution

The fourth proportional to 2,034.70, 3,052.49 and 718.40 is: 1,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.70 : 3,052.49 = 718.40 : x
  2. Step 2: Convert to fraction form
    2,034.70/3,052.49 = 718.40/x
  3. Step 3: Cross multiply
    2,034.70x = 3,052.49 × 718.40
  4. Step 4: Simplify right side
    2,034.70x = 2,192,912.86
  5. Step 5: Solve for x
    x = 2,192,912.86/2,034.70
  6. Step 6: Final answer
    x = 1,077.76

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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.