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Finding the Fourth Proportional to 1,846.19, 2,768.80 and 547.35

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Solution

The fourth proportional to 1,846.19, 2,768.80 and 547.35 is: 820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.19 : 2,768.80 = 547.35 : x
  2. Step 2: Convert to fraction form
    1,846.19/2,768.80 = 547.35/x
  3. Step 3: Cross multiply
    1,846.19x = 2,768.80 × 547.35
  4. Step 4: Simplify right side
    1,846.19x = 1,515,502.68
  5. Step 5: Solve for x
    x = 1,515,502.68/1,846.19
  6. Step 6: Final answer
    x = 820.88

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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.