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Finding the Fourth Proportional to 2,176.22, 3,264.31 and 532.77

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Solution

The fourth proportional to 2,176.22, 3,264.31 and 532.77 is: 799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.22 : 3,264.31 = 532.77 : x
  2. Step 2: Convert to fraction form
    2,176.22/3,264.31 = 532.77/x
  3. Step 3: Cross multiply
    2,176.22x = 3,264.31 × 532.77
  4. Step 4: Simplify right side
    2,176.22x = 1,739,126.44
  5. Step 5: Solve for x
    x = 1,739,126.44/2,176.22
  6. Step 6: Final answer
    x = 799.15

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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.