Home / 2,024.97-3,037.45-564.16

Finding the Fourth Proportional to 2,024.97, 3,037.45 and 564.16

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Solution

The fourth proportional to 2,024.97, 3,037.45 and 564.16 is: 846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.97 : 3,037.45 = 564.16 : x
  2. Step 2: Convert to fraction form
    2,024.97/3,037.45 = 564.16/x
  3. Step 3: Cross multiply
    2,024.97x = 3,037.45 × 564.16
  4. Step 4: Simplify right side
    2,024.97x = 1,713,609.20
  5. Step 5: Solve for x
    x = 1,713,609.20/2,024.97
  6. Step 6: Final answer
    x = 846.24

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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.