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Finding the Fourth Proportional to 1,990.81, 2,746.59 and 1,204.57

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Solution

The fourth proportional to 1,990.81, 2,746.59 and 1,204.57 is: 1,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.81 : 2,746.59 = 1,204.57 : x
  2. Step 2: Convert to fraction form
    1,990.81/2,746.59 = 1,204.57/x
  3. Step 3: Cross multiply
    1,990.81x = 2,746.59 × 1,204.57
  4. Step 4: Simplify right side
    1,990.81x = 3,308,459.92
  5. Step 5: Solve for x
    x = 3,308,459.92/1,990.81
  6. Step 6: Final answer
    x = 1,661.87

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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.