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Finding the Fourth Proportional to 1,480.47, 2,220.71 and 1,067.67

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Solution

The fourth proportional to 1,480.47, 2,220.71 and 1,067.67 is: 1,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.47 : 2,220.71 = 1,067.67 : x
  2. Step 2: Convert to fraction form
    1,480.47/2,220.71 = 1,067.67/x
  3. Step 3: Cross multiply
    1,480.47x = 2,220.71 × 1,067.67
  4. Step 4: Simplify right side
    1,480.47x = 2,370,980.11
  5. Step 5: Solve for x
    x = 2,370,980.11/1,480.47
  6. Step 6: Final answer
    x = 1,601.51

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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.