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Finding the Fourth Proportional to 1,816.97, 2,726.35 and 842.90

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Solution

The fourth proportional to 1,816.97, 2,726.35 and 842.90 is: 1,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.97 : 2,726.35 = 842.90 : x
  2. Step 2: Convert to fraction form
    1,816.97/2,726.35 = 842.90/x
  3. Step 3: Cross multiply
    1,816.97x = 2,726.35 × 842.90
  4. Step 4: Simplify right side
    1,816.97x = 2,298,024.68
  5. Step 5: Solve for x
    x = 2,298,024.68/1,816.97
  6. Step 6: Final answer
    x = 1,264.76

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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.