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Finding the Fourth Proportional to 2,351, 3,508.25 and 2,039.96

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Solution

The fourth proportional to 2,351, 3,508.25 and 2,039.96 is: 3,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351 : 3,508.25 = 2,039.96 : x
  2. Step 2: Convert to fraction form
    2,351/3,508.25 = 2,039.96/x
  3. Step 3: Cross multiply
    2,351x = 3,508.25 × 2,039.96
  4. Step 4: Simplify right side
    2,351x = 7,156,689.67
  5. Step 5: Solve for x
    x = 7,156,689.67/2,351
  6. Step 6: Final answer
    x = 3,044.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.