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Finding the Fourth Proportional to 2,023.40, 3,034.49 and 562.68

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Solution

The fourth proportional to 2,023.40, 3,034.49 and 562.68 is: 843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.40 : 3,034.49 = 562.68 : x
  2. Step 2: Convert to fraction form
    2,023.40/3,034.49 = 562.68/x
  3. Step 3: Cross multiply
    2,023.40x = 3,034.49 × 562.68
  4. Step 4: Simplify right side
    2,023.40x = 1,707,444.02
  5. Step 5: Solve for x
    x = 1,707,444.02/2,023.40
  6. Step 6: Final answer
    x = 843.85

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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.