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Finding the Fourth Proportional to 2,175.99, 3,001.76 and 1,429.85

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Solution

The fourth proportional to 2,175.99, 3,001.76 and 1,429.85 is: 1,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.99 : 3,001.76 = 1,429.85 : x
  2. Step 2: Convert to fraction form
    2,175.99/3,001.76 = 1,429.85/x
  3. Step 3: Cross multiply
    2,175.99x = 3,001.76 × 1,429.85
  4. Step 4: Simplify right side
    2,175.99x = 4,292,044.38
  5. Step 5: Solve for x
    x = 4,292,044.38/2,175.99
  6. Step 6: Final answer
    x = 1,972.46

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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.