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Finding the Fourth Proportional to 2,166.55, 3,244.29 and 1,191.58

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Solution

The fourth proportional to 2,166.55, 3,244.29 and 1,191.58 is: 1,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.55 : 3,244.29 = 1,191.58 : x
  2. Step 2: Convert to fraction form
    2,166.55/3,244.29 = 1,191.58/x
  3. Step 3: Cross multiply
    2,166.55x = 3,244.29 × 1,191.58
  4. Step 4: Simplify right side
    2,166.55x = 3,865,831.08
  5. Step 5: Solve for x
    x = 3,865,831.08/2,166.55
  6. Step 6: Final answer
    x = 1,784.33

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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.