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Finding the Fourth Proportional to 1,549, 2,137.64 and 850.40

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Solution

The fourth proportional to 1,549, 2,137.64 and 850.40 is: 1,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549 : 2,137.64 = 850.40 : x
  2. Step 2: Convert to fraction form
    1,549/2,137.64 = 850.40/x
  3. Step 3: Cross multiply
    1,549x = 2,137.64 × 850.40
  4. Step 4: Simplify right side
    1,549x = 1,817,849.06
  5. Step 5: Solve for x
    x = 1,817,849.06/1,549
  6. Step 6: Final answer
    x = 1,173.56

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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.