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Finding the Fourth Proportional to 2,371.49, 3,556.70 and 705.27

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Solution

The fourth proportional to 2,371.49, 3,556.70 and 705.27 is: 1,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.49 : 3,556.70 = 705.27 : x
  2. Step 2: Convert to fraction form
    2,371.49/3,556.70 = 705.27/x
  3. Step 3: Cross multiply
    2,371.49x = 3,556.70 × 705.27
  4. Step 4: Simplify right side
    2,371.49x = 2,508,446.27
  5. Step 5: Solve for x
    x = 2,508,446.27/2,371.49
  6. Step 6: Final answer
    x = 1,057.75

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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.