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Finding the Fourth Proportional to 2,175.44, 3,001 and 1,377.42

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Solution

The fourth proportional to 2,175.44, 3,001 and 1,377.42 is: 1,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.44 : 3,001 = 1,377.42 : x
  2. Step 2: Convert to fraction form
    2,175.44/3,001 = 1,377.42/x
  3. Step 3: Cross multiply
    2,175.44x = 3,001 × 1,377.42
  4. Step 4: Simplify right side
    2,175.44x = 4,133,637.42
  5. Step 5: Solve for x
    x = 4,133,637.42/2,175.44
  6. Step 6: Final answer
    x = 1,900.14

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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.