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Finding the Fourth Proportional to 2,175.68, 3,263.50 and 532.22

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Solution

The fourth proportional to 2,175.68, 3,263.50 and 532.22 is: 798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.68 : 3,263.50 = 532.22 : x
  2. Step 2: Convert to fraction form
    2,175.68/3,263.50 = 532.22/x
  3. Step 3: Cross multiply
    2,175.68x = 3,263.50 × 532.22
  4. Step 4: Simplify right side
    2,175.68x = 1,736,884.32
  5. Step 5: Solve for x
    x = 1,736,884.32/2,175.68
  6. Step 6: Final answer
    x = 798.32

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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.