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Finding the Fourth Proportional to 2,660.30, 3,989.28 and 810.98

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Solution

The fourth proportional to 2,660.30, 3,989.28 and 810.98 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.30 : 3,989.28 = 810.98 : x
  2. Step 2: Convert to fraction form
    2,660.30/3,989.28 = 810.98/x
  3. Step 3: Cross multiply
    2,660.30x = 3,989.28 × 810.98
  4. Step 4: Simplify right side
    2,660.30x = 3,235,226.29
  5. Step 5: Solve for x
    x = 3,235,226.29/2,660.30
  6. Step 6: Final answer
    x = 1,216.11

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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.