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Finding the Fourth Proportional to 2,264.70, 3,401.10 and 1,649.10

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Solution

The fourth proportional to 2,264.70, 3,401.10 and 1,649.10 is: 2,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.70 : 3,401.10 = 1,649.10 : x
  2. Step 2: Convert to fraction form
    2,264.70/3,401.10 = 1,649.10/x
  3. Step 3: Cross multiply
    2,264.70x = 3,401.10 × 1,649.10
  4. Step 4: Simplify right side
    2,264.70x = 5,608,754.01
  5. Step 5: Solve for x
    x = 5,608,754.01/2,264.70
  6. Step 6: Final answer
    x = 2,476.60

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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.