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Finding the Fourth Proportional to 1,822.96, 2,510.04 and 1,511.92

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Solution

The fourth proportional to 1,822.96, 2,510.04 and 1,511.92 is: 2,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.96 : 2,510.04 = 1,511.92 : x
  2. Step 2: Convert to fraction form
    1,822.96/2,510.04 = 1,511.92/x
  3. Step 3: Cross multiply
    1,822.96x = 2,510.04 × 1,511.92
  4. Step 4: Simplify right side
    1,822.96x = 3,794,979.68
  5. Step 5: Solve for x
    x = 3,794,979.68/1,822.96
  6. Step 6: Final answer
    x = 2,081.77

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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.