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Finding the Fourth Proportional to 1,998.90, 2,758.45 and 1,102.67

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Solution

The fourth proportional to 1,998.90, 2,758.45 and 1,102.67 is: 1,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.90 : 2,758.45 = 1,102.67 : x
  2. Step 2: Convert to fraction form
    1,998.90/2,758.45 = 1,102.67/x
  3. Step 3: Cross multiply
    1,998.90x = 2,758.45 × 1,102.67
  4. Step 4: Simplify right side
    1,998.90x = 3,041,660.06
  5. Step 5: Solve for x
    x = 3,041,660.06/1,998.90
  6. Step 6: Final answer
    x = 1,521.67

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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.