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Finding the Fourth Proportional to 3,267.88, 4,895.16 and 1,948.48

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Solution

The fourth proportional to 3,267.88, 4,895.16 and 1,948.48 is: 2,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.88 : 4,895.16 = 1,948.48 : x
  2. Step 2: Convert to fraction form
    3,267.88/4,895.16 = 1,948.48/x
  3. Step 3: Cross multiply
    3,267.88x = 4,895.16 × 1,948.48
  4. Step 4: Simplify right side
    3,267.88x = 9,538,121.36
  5. Step 5: Solve for x
    x = 9,538,121.36/3,267.88
  6. Step 6: Final answer
    x = 2,918.75

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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.