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Finding the Fourth Proportional to 1,480.70, 2,224 and 926.39

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Solution

The fourth proportional to 1,480.70, 2,224 and 926.39 is: 1,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.70 : 2,224 = 926.39 : x
  2. Step 2: Convert to fraction form
    1,480.70/2,224 = 926.39/x
  3. Step 3: Cross multiply
    1,480.70x = 2,224 × 926.39
  4. Step 4: Simplify right side
    1,480.70x = 2,060,291.36
  5. Step 5: Solve for x
    x = 2,060,291.36/1,480.70
  6. Step 6: Final answer
    x = 1,391.43

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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.