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Finding the Fourth Proportional to 1,546.54, 2,134.21 and 847.91

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Solution

The fourth proportional to 1,546.54, 2,134.21 and 847.91 is: 1,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.54 : 2,134.21 = 847.91 : x
  2. Step 2: Convert to fraction form
    1,546.54/2,134.21 = 847.91/x
  3. Step 3: Cross multiply
    1,546.54x = 2,134.21 × 847.91
  4. Step 4: Simplify right side
    1,546.54x = 1,809,618.00
  5. Step 5: Solve for x
    x = 1,809,618.00/1,546.54
  6. Step 6: Final answer
    x = 1,170.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.