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Finding the Fourth Proportional to 2,024.31, 3,036.64 and 563.48

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Solution

The fourth proportional to 2,024.31, 3,036.64 and 563.48 is: 845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.31 : 3,036.64 = 563.48 : x
  2. Step 2: Convert to fraction form
    2,024.31/3,036.64 = 563.48/x
  3. Step 3: Cross multiply
    2,024.31x = 3,036.64 × 563.48
  4. Step 4: Simplify right side
    2,024.31x = 1,711,085.91
  5. Step 5: Solve for x
    x = 1,711,085.91/2,024.31
  6. Step 6: Final answer
    x = 845.27

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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.