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Finding the Fourth Proportional to 1,520.97, 2,098.94 and 822.35

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Solution

The fourth proportional to 1,520.97, 2,098.94 and 822.35 is: 1,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.97 : 2,098.94 = 822.35 : x
  2. Step 2: Convert to fraction form
    1,520.97/2,098.94 = 822.35/x
  3. Step 3: Cross multiply
    1,520.97x = 2,098.94 × 822.35
  4. Step 4: Simplify right side
    1,520.97x = 1,726,052.81
  5. Step 5: Solve for x
    x = 1,726,052.81/1,520.97
  6. Step 6: Final answer
    x = 1,134.84

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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.