Home / 1,541.67-2,311.13-567.09

Finding the Fourth Proportional to 1,541.67, 2,311.13 and 567.09

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Solution

The fourth proportional to 1,541.67, 2,311.13 and 567.09 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.67 : 2,311.13 = 567.09 : x
  2. Step 2: Convert to fraction form
    1,541.67/2,311.13 = 567.09/x
  3. Step 3: Cross multiply
    1,541.67x = 2,311.13 × 567.09
  4. Step 4: Simplify right side
    1,541.67x = 1,310,615.88
  5. Step 5: Solve for x
    x = 1,310,615.88/1,541.67
  6. Step 6: Final answer
    x = 850.13

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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.