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Finding the Fourth Proportional to 2,874.98, 4,305.99 and 2,013.14

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Solution

The fourth proportional to 2,874.98, 4,305.99 and 2,013.14 is: 3,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.98 : 4,305.99 = 2,013.14 : x
  2. Step 2: Convert to fraction form
    2,874.98/4,305.99 = 2,013.14/x
  3. Step 3: Cross multiply
    2,874.98x = 4,305.99 × 2,013.14
  4. Step 4: Simplify right side
    2,874.98x = 8,668,560.71
  5. Step 5: Solve for x
    x = 8,668,560.71/2,874.98
  6. Step 6: Final answer
    x = 3,015.17

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Why These Related Problems?

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