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Finding the Fourth Proportional to 1,919.02, 2,876.10 and 822.18

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Solution

The fourth proportional to 1,919.02, 2,876.10 and 822.18 is: 1,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.02 : 2,876.10 = 822.18 : x
  2. Step 2: Convert to fraction form
    1,919.02/2,876.10 = 822.18/x
  3. Step 3: Cross multiply
    1,919.02x = 2,876.10 × 822.18
  4. Step 4: Simplify right side
    1,919.02x = 2,364,671.90
  5. Step 5: Solve for x
    x = 2,364,671.90/1,919.02
  6. Step 6: Final answer
    x = 1,232.23

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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.