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Finding the Fourth Proportional to 2,034.90, 2,708.18 and 2,034.90

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Solution

The fourth proportional to 2,034.90, 2,708.18 and 2,034.90 is: 2,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.90 : 2,708.18 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    2,034.90/2,708.18 = 2,034.90/x
  3. Step 3: Cross multiply
    2,034.90x = 2,708.18 × 2,034.90
  4. Step 4: Simplify right side
    2,034.90x = 5,510,865.31
  5. Step 5: Solve for x
    x = 5,510,865.31/2,034.90
  6. Step 6: Final answer
    x = 2,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.