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Finding the Fourth Proportional to 1,822.97, 2,513.50 and 1,263.92

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Solution

The fourth proportional to 1,822.97, 2,513.50 and 1,263.92 is: 1,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.97 : 2,513.50 = 1,263.92 : x
  2. Step 2: Convert to fraction form
    1,822.97/2,513.50 = 1,263.92/x
  3. Step 3: Cross multiply
    1,822.97x = 2,513.50 × 1,263.92
  4. Step 4: Simplify right side
    1,822.97x = 3,176,847.19
  5. Step 5: Solve for x
    x = 3,176,847.19/1,822.97
  6. Step 6: Final answer
    x = 1,742.68

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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.