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Finding the Fourth Proportional to 2,175.70, 3,263.55 and 532.23

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Solution

The fourth proportional to 2,175.70, 3,263.55 and 532.23 is: 798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.70 : 3,263.55 = 532.23 : x
  2. Step 2: Convert to fraction form
    2,175.70/3,263.55 = 532.23/x
  3. Step 3: Cross multiply
    2,175.70x = 3,263.55 × 532.23
  4. Step 4: Simplify right side
    2,175.70x = 1,736,942.90
  5. Step 5: Solve for x
    x = 1,736,942.90/2,175.70
  6. Step 6: Final answer
    x = 798.34

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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.