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Finding the Fourth Proportional to 2,310.21, 3,465.92 and 849.38

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Solution

The fourth proportional to 2,310.21, 3,465.92 and 849.38 is: 1,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.21 : 3,465.92 = 849.38 : x
  2. Step 2: Convert to fraction form
    2,310.21/3,465.92 = 849.38/x
  3. Step 3: Cross multiply
    2,310.21x = 3,465.92 × 849.38
  4. Step 4: Simplify right side
    2,310.21x = 2,943,867.92
  5. Step 5: Solve for x
    x = 2,943,867.92/2,310.21
  6. Step 6: Final answer
    x = 1,274.29

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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.