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Finding the Fourth Proportional to 2,176.43, 3,264.57 and 532.94

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Solution

The fourth proportional to 2,176.43, 3,264.57 and 532.94 is: 799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.43 : 3,264.57 = 532.94 : x
  2. Step 2: Convert to fraction form
    2,176.43/3,264.57 = 532.94/x
  3. Step 3: Cross multiply
    2,176.43x = 3,264.57 × 532.94
  4. Step 4: Simplify right side
    2,176.43x = 1,739,803.61
  5. Step 5: Solve for x
    x = 1,739,803.61/2,176.43
  6. Step 6: Final answer
    x = 799.39

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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.