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Finding the Fourth Proportional to 1,549.84, 2,138.80 and 851.22

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Solution

The fourth proportional to 1,549.84, 2,138.80 and 851.22 is: 1,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.84 : 2,138.80 = 851.22 : x
  2. Step 2: Convert to fraction form
    1,549.84/2,138.80 = 851.22/x
  3. Step 3: Cross multiply
    1,549.84x = 2,138.80 × 851.22
  4. Step 4: Simplify right side
    1,549.84x = 1,820,589.34
  5. Step 5: Solve for x
    x = 1,820,589.34/1,549.84
  6. Step 6: Final answer
    x = 1,174.70

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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.