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Finding the Fourth Proportional to 2,168.69, 3,253.03 and 525.24

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Solution

The fourth proportional to 2,168.69, 3,253.03 and 525.24 is: 787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.69 : 3,253.03 = 525.24 : x
  2. Step 2: Convert to fraction form
    2,168.69/3,253.03 = 525.24/x
  3. Step 3: Cross multiply
    2,168.69x = 3,253.03 × 525.24
  4. Step 4: Simplify right side
    2,168.69x = 1,708,605.21
  5. Step 5: Solve for x
    x = 1,708,605.21/2,168.69
  6. Step 6: Final answer
    x = 787.85

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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.