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Finding the Fourth Proportional to 2,151.72, 2,969.82 and 1,267.38

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Solution

The fourth proportional to 2,151.72, 2,969.82 and 1,267.38 is: 1,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.72 : 2,969.82 = 1,267.38 : x
  2. Step 2: Convert to fraction form
    2,151.72/2,969.82 = 1,267.38/x
  3. Step 3: Cross multiply
    2,151.72x = 2,969.82 × 1,267.38
  4. Step 4: Simplify right side
    2,151.72x = 3,763,890.47
  5. Step 5: Solve for x
    x = 3,763,890.47/2,151.72
  6. Step 6: Final answer
    x = 1,749.25

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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.