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Finding the Fourth Proportional to 2,831.41, 4,246.55 and 982.61

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Solution

The fourth proportional to 2,831.41, 4,246.55 and 982.61 is: 1,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.41 : 4,246.55 = 982.61 : x
  2. Step 2: Convert to fraction form
    2,831.41/4,246.55 = 982.61/x
  3. Step 3: Cross multiply
    2,831.41x = 4,246.55 × 982.61
  4. Step 4: Simplify right side
    2,831.41x = 4,172,686.78
  5. Step 5: Solve for x
    x = 4,172,686.78/2,831.41
  6. Step 6: Final answer
    x = 1,473.71

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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.