Home / 2,208.20-3,312.36-564.75

Finding the Fourth Proportional to 2,208.20, 3,312.36 and 564.75

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Solution

The fourth proportional to 2,208.20, 3,312.36 and 564.75 is: 847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.20 : 3,312.36 = 564.75 : x
  2. Step 2: Convert to fraction form
    2,208.20/3,312.36 = 564.75/x
  3. Step 3: Cross multiply
    2,208.20x = 3,312.36 × 564.75
  4. Step 4: Simplify right side
    2,208.20x = 1,870,655.31
  5. Step 5: Solve for x
    x = 1,870,655.31/2,208.20
  6. Step 6: Final answer
    x = 847.14

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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.