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Finding the Fourth Proportional to 1,774.14, 2,661.63 and 849.43

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Solution

The fourth proportional to 1,774.14, 2,661.63 and 849.43 is: 1,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.14 : 2,661.63 = 849.43 : x
  2. Step 2: Convert to fraction form
    1,774.14/2,661.63 = 849.43/x
  3. Step 3: Cross multiply
    1,774.14x = 2,661.63 × 849.43
  4. Step 4: Simplify right side
    1,774.14x = 2,260,868.37
  5. Step 5: Solve for x
    x = 2,260,868.37/1,774.14
  6. Step 6: Final answer
    x = 1,274.35

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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.