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Finding the Fourth Proportional to 2,371.58, 3,555.21 and 831.74

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Solution

The fourth proportional to 2,371.58, 3,555.21 and 831.74 is: 1,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.58 : 3,555.21 = 831.74 : x
  2. Step 2: Convert to fraction form
    2,371.58/3,555.21 = 831.74/x
  3. Step 3: Cross multiply
    2,371.58x = 3,555.21 × 831.74
  4. Step 4: Simplify right side
    2,371.58x = 2,957,010.37
  5. Step 5: Solve for x
    x = 2,957,010.37/2,371.58
  6. Step 6: Final answer
    x = 1,246.85

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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.