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Finding the Fourth Proportional to 2,023.64, 3,035.42 and 562.78

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Solution

The fourth proportional to 2,023.64, 3,035.42 and 562.78 is: 844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.64 : 3,035.42 = 562.78 : x
  2. Step 2: Convert to fraction form
    2,023.64/3,035.42 = 562.78/x
  3. Step 3: Cross multiply
    2,023.64x = 3,035.42 × 562.78
  4. Step 4: Simplify right side
    2,023.64x = 1,708,273.67
  5. Step 5: Solve for x
    x = 1,708,273.67/2,023.64
  6. Step 6: Final answer
    x = 844.16

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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.