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Finding the Fourth Proportional to 2,024.73, 3,036.76 and 563.49

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Solution

The fourth proportional to 2,024.73, 3,036.76 and 563.49 is: 845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.73 : 3,036.76 = 563.49 : x
  2. Step 2: Convert to fraction form
    2,024.73/3,036.76 = 563.49/x
  3. Step 3: Cross multiply
    2,024.73x = 3,036.76 × 563.49
  4. Step 4: Simplify right side
    2,024.73x = 1,711,182.48
  5. Step 5: Solve for x
    x = 1,711,182.48/2,024.73
  6. Step 6: Final answer
    x = 845.14

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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.