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Finding the Fourth Proportional to 2,051.84, 2,831.50 and 1,167.62

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Solution

The fourth proportional to 2,051.84, 2,831.50 and 1,167.62 is: 1,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.84 : 2,831.50 = 1,167.62 : x
  2. Step 2: Convert to fraction form
    2,051.84/2,831.50 = 1,167.62/x
  3. Step 3: Cross multiply
    2,051.84x = 2,831.50 × 1,167.62
  4. Step 4: Simplify right side
    2,051.84x = 3,306,124.57
  5. Step 5: Solve for x
    x = 3,306,124.57/2,051.84
  6. Step 6: Final answer
    x = 1,611.30

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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.