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Finding the Fourth Proportional to 1,920.25, 2,646.83 and 1,499.87

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Solution

The fourth proportional to 1,920.25, 2,646.83 and 1,499.87 is: 2,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.25 : 2,646.83 = 1,499.87 : x
  2. Step 2: Convert to fraction form
    1,920.25/2,646.83 = 1,499.87/x
  3. Step 3: Cross multiply
    1,920.25x = 2,646.83 × 1,499.87
  4. Step 4: Simplify right side
    1,920.25x = 3,969,887.67
  5. Step 5: Solve for x
    x = 3,969,887.67/1,920.25
  6. Step 6: Final answer
    x = 2,067.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.