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Finding the Fourth Proportional to 1,990.32, 2,747.64 and 1,328.24

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Solution

The fourth proportional to 1,990.32, 2,747.64 and 1,328.24 is: 1,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.32 : 2,747.64 = 1,328.24 : x
  2. Step 2: Convert to fraction form
    1,990.32/2,747.64 = 1,328.24/x
  3. Step 3: Cross multiply
    1,990.32x = 2,747.64 × 1,328.24
  4. Step 4: Simplify right side
    1,990.32x = 3,649,525.35
  5. Step 5: Solve for x
    x = 3,649,525.35/1,990.32
  6. Step 6: Final answer
    x = 1,833.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.