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Finding the Fourth Proportional to 1,874.34, 2,586.38 and 1,127.97

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Solution

The fourth proportional to 1,874.34, 2,586.38 and 1,127.97 is: 1,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.34 : 2,586.38 = 1,127.97 : x
  2. Step 2: Convert to fraction form
    1,874.34/2,586.38 = 1,127.97/x
  3. Step 3: Cross multiply
    1,874.34x = 2,586.38 × 1,127.97
  4. Step 4: Simplify right side
    1,874.34x = 2,917,353.41
  5. Step 5: Solve for x
    x = 2,917,353.41/1,874.34
  6. Step 6: Final answer
    x = 1,556.47

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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.