Home / 2,024.25-3,036.24-563.42

Finding the Fourth Proportional to 2,024.25, 3,036.24 and 563.42

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Solution

The fourth proportional to 2,024.25, 3,036.24 and 563.42 is: 845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.25 : 3,036.24 = 563.42 : x
  2. Step 2: Convert to fraction form
    2,024.25/3,036.24 = 563.42/x
  3. Step 3: Cross multiply
    2,024.25x = 3,036.24 × 563.42
  4. Step 4: Simplify right side
    2,024.25x = 1,710,663.16
  5. Step 5: Solve for x
    x = 1,710,663.16/2,024.25
  6. Step 6: Final answer
    x = 845.08

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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.