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Finding the Fourth Proportional to 2,274.09, 3,410.76 and 630.80

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Solution

The fourth proportional to 2,274.09, 3,410.76 and 630.80 is: 946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.09 : 3,410.76 = 630.80 : x
  2. Step 2: Convert to fraction form
    2,274.09/3,410.76 = 630.80/x
  3. Step 3: Cross multiply
    2,274.09x = 3,410.76 × 630.80
  4. Step 4: Simplify right side
    2,274.09x = 2,151,521.15
  5. Step 5: Solve for x
    x = 2,151,521.15/2,274.09
  6. Step 6: Final answer
    x = 946.10

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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.