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Finding the Fourth Proportional to 2,371.38, 3,556.61 and 910.34

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Solution

The fourth proportional to 2,371.38, 3,556.61 and 910.34 is: 1,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.38 : 3,556.61 = 910.34 : x
  2. Step 2: Convert to fraction form
    2,371.38/3,556.61 = 910.34/x
  3. Step 3: Cross multiply
    2,371.38x = 3,556.61 × 910.34
  4. Step 4: Simplify right side
    2,371.38x = 3,237,718.76
  5. Step 5: Solve for x
    x = 3,237,718.76/2,371.38
  6. Step 6: Final answer
    x = 1,365.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.