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Finding the Fourth Proportional to 2,024.20, 3,035.67 and 563.41

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Solution

The fourth proportional to 2,024.20, 3,035.67 and 563.41 is: 844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.20 : 3,035.67 = 563.41 : x
  2. Step 2: Convert to fraction form
    2,024.20/3,035.67 = 563.41/x
  3. Step 3: Cross multiply
    2,024.20x = 3,035.67 × 563.41
  4. Step 4: Simplify right side
    2,024.20x = 1,710,326.83
  5. Step 5: Solve for x
    x = 1,710,326.83/2,024.20
  6. Step 6: Final answer
    x = 844.94

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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.