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Finding the Fourth Proportional to 1,952.13, 2,911.54 and 1,919.37

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Solution

The fourth proportional to 1,952.13, 2,911.54 and 1,919.37 is: 2,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.13 : 2,911.54 = 1,919.37 : x
  2. Step 2: Convert to fraction form
    1,952.13/2,911.54 = 1,919.37/x
  3. Step 3: Cross multiply
    1,952.13x = 2,911.54 × 1,919.37
  4. Step 4: Simplify right side
    1,952.13x = 5,588,317.73
  5. Step 5: Solve for x
    x = 5,588,317.73/1,952.13
  6. Step 6: Final answer
    x = 2,862.68

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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.