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Finding the Fourth Proportional to 2,024.20, 3,036.78 and 853.55

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Solution

The fourth proportional to 2,024.20, 3,036.78 and 853.55 is: 1,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.20 : 3,036.78 = 853.55 : x
  2. Step 2: Convert to fraction form
    2,024.20/3,036.78 = 853.55/x
  3. Step 3: Cross multiply
    2,024.20x = 3,036.78 × 853.55
  4. Step 4: Simplify right side
    2,024.20x = 2,592,043.57
  5. Step 5: Solve for x
    x = 2,592,043.57/2,024.20
  6. Step 6: Final answer
    x = 1,280.53

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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.