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Finding the Fourth Proportional to 2,175.78, 3,263.51 and 636.58

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Solution

The fourth proportional to 2,175.78, 3,263.51 and 636.58 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.78 : 3,263.51 = 636.58 : x
  2. Step 2: Convert to fraction form
    2,175.78/3,263.51 = 636.58/x
  3. Step 3: Cross multiply
    2,175.78x = 3,263.51 × 636.58
  4. Step 4: Simplify right side
    2,175.78x = 2,077,485.20
  5. Step 5: Solve for x
    x = 2,077,485.20/2,175.78
  6. Step 6: Final answer
    x = 954.82

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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.