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Finding the Fourth Proportional to 3,191.66, 4,788.44 and 1,548.26

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Solution

The fourth proportional to 3,191.66, 4,788.44 and 1,548.26 is: 2,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.66 : 4,788.44 = 1,548.26 : x
  2. Step 2: Convert to fraction form
    3,191.66/4,788.44 = 1,548.26/x
  3. Step 3: Cross multiply
    3,191.66x = 4,788.44 × 1,548.26
  4. Step 4: Simplify right side
    3,191.66x = 7,413,718.43
  5. Step 5: Solve for x
    x = 7,413,718.43/3,191.66
  6. Step 6: Final answer
    x = 2,322.84

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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.