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Finding the Fourth Proportional to 2,175.66, 3,263.47 and 532.21

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Solution

The fourth proportional to 2,175.66, 3,263.47 and 532.21 is: 798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.66 : 3,263.47 = 532.21 : x
  2. Step 2: Convert to fraction form
    2,175.66/3,263.47 = 532.21/x
  3. Step 3: Cross multiply
    2,175.66x = 3,263.47 × 532.21
  4. Step 4: Simplify right side
    2,175.66x = 1,736,851.37
  5. Step 5: Solve for x
    x = 1,736,851.37/2,175.66
  6. Step 6: Final answer
    x = 798.31

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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.