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Finding the Fourth Proportional to 2,690.60, 4,029.42 and 1,822.28

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Solution

The fourth proportional to 2,690.60, 4,029.42 and 1,822.28 is: 2,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.60 : 4,029.42 = 1,822.28 : x
  2. Step 2: Convert to fraction form
    2,690.60/4,029.42 = 1,822.28/x
  3. Step 3: Cross multiply
    2,690.60x = 4,029.42 × 1,822.28
  4. Step 4: Simplify right side
    2,690.60x = 7,342,731.48
  5. Step 5: Solve for x
    x = 7,342,731.48/2,690.60
  6. Step 6: Final answer
    x = 2,729.03

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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.