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Finding the Fourth Proportional to 1,529.08, 2,274 and 1,480.48

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Solution

The fourth proportional to 1,529.08, 2,274 and 1,480.48 is: 2,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.08 : 2,274 = 1,480.48 : x
  2. Step 2: Convert to fraction form
    1,529.08/2,274 = 1,480.48/x
  3. Step 3: Cross multiply
    1,529.08x = 2,274 × 1,480.48
  4. Step 4: Simplify right side
    1,529.08x = 3,366,611.52
  5. Step 5: Solve for x
    x = 3,366,611.52/1,529.08
  6. Step 6: Final answer
    x = 2,201.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.