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Finding the Fourth Proportional to 2,168.33, 3,252.51 and 524.87

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Solution

The fourth proportional to 2,168.33, 3,252.51 and 524.87 is: 787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.33 : 3,252.51 = 524.87 : x
  2. Step 2: Convert to fraction form
    2,168.33/3,252.51 = 524.87/x
  3. Step 3: Cross multiply
    2,168.33x = 3,252.51 × 524.87
  4. Step 4: Simplify right side
    2,168.33x = 1,707,157.55
  5. Step 5: Solve for x
    x = 1,707,157.55/2,168.33
  6. Step 6: Final answer
    x = 787.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.