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Finding the Fourth Proportional to 2,837.87, 4,259.87 and 2,401.16

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Solution

The fourth proportional to 2,837.87, 4,259.87 and 2,401.16 is: 3,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.87 : 4,259.87 = 2,401.16 : x
  2. Step 2: Convert to fraction form
    2,837.87/4,259.87 = 2,401.16/x
  3. Step 3: Cross multiply
    2,837.87x = 4,259.87 × 2,401.16
  4. Step 4: Simplify right side
    2,837.87x = 10,228,596.14
  5. Step 5: Solve for x
    x = 10,228,596.14/2,837.87
  6. Step 6: Final answer
    x = 3,604.32

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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.