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Finding the Fourth Proportional to 2,023.02, 3,034.46 and 562.20

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Solution

The fourth proportional to 2,023.02, 3,034.46 and 562.20 is: 843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.02 : 3,034.46 = 562.20 : x
  2. Step 2: Convert to fraction form
    2,023.02/3,034.46 = 562.20/x
  3. Step 3: Cross multiply
    2,023.02x = 3,034.46 × 562.20
  4. Step 4: Simplify right side
    2,023.02x = 1,705,973.41
  5. Step 5: Solve for x
    x = 1,705,973.41/2,023.02
  6. Step 6: Final answer
    x = 843.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.