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Finding the Fourth Proportional to 2,162.02, 3,243.54 and 928.78

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Solution

The fourth proportional to 2,162.02, 3,243.54 and 928.78 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.02 : 3,243.54 = 928.78 : x
  2. Step 2: Convert to fraction form
    2,162.02/3,243.54 = 928.78/x
  3. Step 3: Cross multiply
    2,162.02x = 3,243.54 × 928.78
  4. Step 4: Simplify right side
    2,162.02x = 3,012,535.08
  5. Step 5: Solve for x
    x = 3,012,535.08/2,162.02
  6. Step 6: Final answer
    x = 1,393.39

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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.