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Finding the Fourth Proportional to 2,168.55, 3,247.29 and 1,193.58

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Solution

The fourth proportional to 2,168.55, 3,247.29 and 1,193.58 is: 1,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.55 : 3,247.29 = 1,193.58 : x
  2. Step 2: Convert to fraction form
    2,168.55/3,247.29 = 1,193.58/x
  3. Step 3: Cross multiply
    2,168.55x = 3,247.29 × 1,193.58
  4. Step 4: Simplify right side
    2,168.55x = 3,875,900.40
  5. Step 5: Solve for x
    x = 3,875,900.40/2,168.55
  6. Step 6: Final answer
    x = 1,787.32

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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.