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Finding the Fourth Proportional to 1,929.82, 2,663.14 and 1,629.86

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Solution

The fourth proportional to 1,929.82, 2,663.14 and 1,629.86 is: 2,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.82 : 2,663.14 = 1,629.86 : x
  2. Step 2: Convert to fraction form
    1,929.82/2,663.14 = 1,629.86/x
  3. Step 3: Cross multiply
    1,929.82x = 2,663.14 × 1,629.86
  4. Step 4: Simplify right side
    1,929.82x = 4,340,545.36
  5. Step 5: Solve for x
    x = 4,340,545.36/1,929.82
  6. Step 6: Final answer
    x = 2,249.20

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