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Finding the Fourth Proportional to 2,510.32, 3,764.12 and 1,993.64

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Solution

The fourth proportional to 2,510.32, 3,764.12 and 1,993.64 is: 2,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.32 : 3,764.12 = 1,993.64 : x
  2. Step 2: Convert to fraction form
    2,510.32/3,764.12 = 1,993.64/x
  3. Step 3: Cross multiply
    2,510.32x = 3,764.12 × 1,993.64
  4. Step 4: Simplify right side
    2,510.32x = 7,504,290.23
  5. Step 5: Solve for x
    x = 7,504,290.23/2,510.32
  6. Step 6: Final answer
    x = 2,989.38

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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.