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Finding the Fourth Proportional to 1,774.29, 2,659.14 and 849.37

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Solution

The fourth proportional to 1,774.29, 2,659.14 and 849.37 is: 1,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.29 : 2,659.14 = 849.37 : x
  2. Step 2: Convert to fraction form
    1,774.29/2,659.14 = 849.37/x
  3. Step 3: Cross multiply
    1,774.29x = 2,659.14 × 849.37
  4. Step 4: Simplify right side
    1,774.29x = 2,258,593.74
  5. Step 5: Solve for x
    x = 2,258,593.74/1,774.29
  6. Step 6: Final answer
    x = 1,272.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.