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Finding the Fourth Proportional to 2,023.81, 3,035.71 and 562.96

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Solution

The fourth proportional to 2,023.81, 3,035.71 and 562.96 is: 844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.81 : 3,035.71 = 562.96 : x
  2. Step 2: Convert to fraction form
    2,023.81/3,035.71 = 562.96/x
  3. Step 3: Cross multiply
    2,023.81x = 3,035.71 × 562.96
  4. Step 4: Simplify right side
    2,023.81x = 1,708,987.80
  5. Step 5: Solve for x
    x = 1,708,987.80/2,023.81
  6. Step 6: Final answer
    x = 844.44

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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.