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Finding the Fourth Proportional to 2,264.70, 3,388.41 and 1,496.70

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Solution

The fourth proportional to 2,264.70, 3,388.41 and 1,496.70 is: 2,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.70 : 3,388.41 = 1,496.70 : x
  2. Step 2: Convert to fraction form
    2,264.70/3,388.41 = 1,496.70/x
  3. Step 3: Cross multiply
    2,264.70x = 3,388.41 × 1,496.70
  4. Step 4: Simplify right side
    2,264.70x = 5,071,433.25
  5. Step 5: Solve for x
    x = 5,071,433.25/2,264.70
  6. Step 6: Final answer
    x = 2,239.34

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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.