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Finding the Fourth Proportional to 2,883.29, 4,324.73 and 1,646.82

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Solution

The fourth proportional to 2,883.29, 4,324.73 and 1,646.82 is: 2,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.29 : 4,324.73 = 1,646.82 : x
  2. Step 2: Convert to fraction form
    2,883.29/4,324.73 = 1,646.82/x
  3. Step 3: Cross multiply
    2,883.29x = 4,324.73 × 1,646.82
  4. Step 4: Simplify right side
    2,883.29x = 7,122,043.62
  5. Step 5: Solve for x
    x = 7,122,043.62/2,883.29
  6. Step 6: Final answer
    x = 2,470.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.