Home / 2,024.85-3,037.38-564.09

Finding the Fourth Proportional to 2,024.85, 3,037.38 and 564.09

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Solution

The fourth proportional to 2,024.85, 3,037.38 and 564.09 is: 846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.85 : 3,037.38 = 564.09 : x
  2. Step 2: Convert to fraction form
    2,024.85/3,037.38 = 564.09/x
  3. Step 3: Cross multiply
    2,024.85x = 3,037.38 × 564.09
  4. Step 4: Simplify right side
    2,024.85x = 1,713,355.68
  5. Step 5: Solve for x
    x = 1,713,355.68/2,024.85
  6. Step 6: Final answer
    x = 846.16

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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.