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Finding the Fourth Proportional to 2,367.82, 3,551.73 and 1,546.48

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Solution

The fourth proportional to 2,367.82, 3,551.73 and 1,546.48 is: 2,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.82 : 3,551.73 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    2,367.82/3,551.73 = 1,546.48/x
  3. Step 3: Cross multiply
    2,367.82x = 3,551.73 × 1,546.48
  4. Step 4: Simplify right side
    2,367.82x = 5,492,679.41
  5. Step 5: Solve for x
    x = 5,492,679.41/2,367.82
  6. Step 6: Final answer
    x = 2,319.72

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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.