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Finding the Fourth Proportional to 2,416.08, 3,309.14 and 2,274.20

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Solution

The fourth proportional to 2,416.08, 3,309.14 and 2,274.20 is: 3,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.08 : 3,309.14 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    2,416.08/3,309.14 = 2,274.20/x
  3. Step 3: Cross multiply
    2,416.08x = 3,309.14 × 2,274.20
  4. Step 4: Simplify right side
    2,416.08x = 7,525,618.27
  5. Step 5: Solve for x
    x = 7,525,618.27/2,416.08
  6. Step 6: Final answer
    x = 3,114.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.