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Finding the Fourth Proportional to 2,371.41, 3,556.71 and 909.81

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Solution

The fourth proportional to 2,371.41, 3,556.71 and 909.81 is: 1,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.41 : 3,556.71 = 909.81 : x
  2. Step 2: Convert to fraction form
    2,371.41/3,556.71 = 909.81/x
  3. Step 3: Cross multiply
    2,371.41x = 3,556.71 × 909.81
  4. Step 4: Simplify right side
    2,371.41x = 3,235,930.33
  5. Step 5: Solve for x
    x = 3,235,930.33/2,371.41
  6. Step 6: Final answer
    x = 1,364.56

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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.