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Finding the Fourth Proportional to 2,051.50, 2,831.17 and 1,167.46

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Solution

The fourth proportional to 2,051.50, 2,831.17 and 1,167.46 is: 1,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.50 : 2,831.17 = 1,167.46 : x
  2. Step 2: Convert to fraction form
    2,051.50/2,831.17 = 1,167.46/x
  3. Step 3: Cross multiply
    2,051.50x = 2,831.17 × 1,167.46
  4. Step 4: Simplify right side
    2,051.50x = 3,305,277.73
  5. Step 5: Solve for x
    x = 3,305,277.73/2,051.50
  6. Step 6: Final answer
    x = 1,611.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.