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Finding the Fourth Proportional to 1,567.50, 2,163.23 and 868.88

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Solution

The fourth proportional to 1,567.50, 2,163.23 and 868.88 is: 1,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.50 : 2,163.23 = 868.88 : x
  2. Step 2: Convert to fraction form
    1,567.50/2,163.23 = 868.88/x
  3. Step 3: Cross multiply
    1,567.50x = 2,163.23 × 868.88
  4. Step 4: Simplify right side
    1,567.50x = 1,879,572.12
  5. Step 5: Solve for x
    x = 1,879,572.12/1,567.50
  6. Step 6: Final answer
    x = 1,199.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.