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Finding the Fourth Proportional to 2,168.14, 3,252.20 and 524.68

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Solution

The fourth proportional to 2,168.14, 3,252.20 and 524.68 is: 787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.14 : 3,252.20 = 524.68 : x
  2. Step 2: Convert to fraction form
    2,168.14/3,252.20 = 524.68/x
  3. Step 3: Cross multiply
    2,168.14x = 3,252.20 × 524.68
  4. Step 4: Simplify right side
    2,168.14x = 1,706,364.30
  5. Step 5: Solve for x
    x = 1,706,364.30/2,168.14
  6. Step 6: Final answer
    x = 787.02

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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.