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Finding the Fourth Proportional to 1,567.96, 2,349.67 and 865.31

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Solution

The fourth proportional to 1,567.96, 2,349.67 and 865.31 is: 1,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.96 : 2,349.67 = 865.31 : x
  2. Step 2: Convert to fraction form
    1,567.96/2,349.67 = 865.31/x
  3. Step 3: Cross multiply
    1,567.96x = 2,349.67 × 865.31
  4. Step 4: Simplify right side
    1,567.96x = 2,033,183.98
  5. Step 5: Solve for x
    x = 2,033,183.98/1,567.96
  6. Step 6: Final answer
    x = 1,296.71

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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.