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Finding the Fourth Proportional to 2,023.64, 3,035.10 and 562.46

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Solution

The fourth proportional to 2,023.64, 3,035.10 and 562.46 is: 843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.64 : 3,035.10 = 562.46 : x
  2. Step 2: Convert to fraction form
    2,023.64/3,035.10 = 562.46/x
  3. Step 3: Cross multiply
    2,023.64x = 3,035.10 × 562.46
  4. Step 4: Simplify right side
    2,023.64x = 1,707,122.35
  5. Step 5: Solve for x
    x = 1,707,122.35/2,023.64
  6. Step 6: Final answer
    x = 843.59

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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.