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Finding the Fourth Proportional to 1,567.66, 2,163.24 and 869.02

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Solution

The fourth proportional to 1,567.66, 2,163.24 and 869.02 is: 1,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.66 : 2,163.24 = 869.02 : x
  2. Step 2: Convert to fraction form
    1,567.66/2,163.24 = 869.02/x
  3. Step 3: Cross multiply
    1,567.66x = 2,163.24 × 869.02
  4. Step 4: Simplify right side
    1,567.66x = 1,879,898.82
  5. Step 5: Solve for x
    x = 1,879,898.82/1,567.66
  6. Step 6: Final answer
    x = 1,199.18

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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.