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Finding the Fourth Proportional to 1,990.54, 2,747 and 1,106.32

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Solution

The fourth proportional to 1,990.54, 2,747 and 1,106.32 is: 1,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.54 : 2,747 = 1,106.32 : x
  2. Step 2: Convert to fraction form
    1,990.54/2,747 = 1,106.32/x
  3. Step 3: Cross multiply
    1,990.54x = 2,747 × 1,106.32
  4. Step 4: Simplify right side
    1,990.54x = 3,039,061.04
  5. Step 5: Solve for x
    x = 3,039,061.04/1,990.54
  6. Step 6: Final answer
    x = 1,526.75

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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.