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Finding the Fourth Proportional to 2,410.01, 3,614.99 and 949.17

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Solution

The fourth proportional to 2,410.01, 3,614.99 and 949.17 is: 1,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.01 : 3,614.99 = 949.17 : x
  2. Step 2: Convert to fraction form
    2,410.01/3,614.99 = 949.17/x
  3. Step 3: Cross multiply
    2,410.01x = 3,614.99 × 949.17
  4. Step 4: Simplify right side
    2,410.01x = 3,431,248.87
  5. Step 5: Solve for x
    x = 3,431,248.87/2,410.01
  6. Step 6: Final answer
    x = 1,423.75

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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.