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Finding the Fourth Proportional to 2,034.40, 2,707.52 and 2,034.40

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Solution

The fourth proportional to 2,034.40, 2,707.52 and 2,034.40 is: 2,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.40 : 2,707.52 = 2,034.40 : x
  2. Step 2: Convert to fraction form
    2,034.40/2,707.52 = 2,034.40/x
  3. Step 3: Cross multiply
    2,034.40x = 2,707.52 × 2,034.40
  4. Step 4: Simplify right side
    2,034.40x = 5,508,178.69
  5. Step 5: Solve for x
    x = 5,508,178.69/2,034.40
  6. Step 6: Final answer
    x = 2,707.52

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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.