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Finding the Fourth Proportional to 2,311.74, 3,465.59 and 849.69

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Solution

The fourth proportional to 2,311.74, 3,465.59 and 849.69 is: 1,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.74 : 3,465.59 = 849.69 : x
  2. Step 2: Convert to fraction form
    2,311.74/3,465.59 = 849.69/x
  3. Step 3: Cross multiply
    2,311.74x = 3,465.59 × 849.69
  4. Step 4: Simplify right side
    2,311.74x = 2,944,672.92
  5. Step 5: Solve for x
    x = 2,944,672.92/2,311.74
  6. Step 6: Final answer
    x = 1,273.79

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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.