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Finding the Fourth Proportional to 1,986.83, 2,741.87 and 1,102.67

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Solution

The fourth proportional to 1,986.83, 2,741.87 and 1,102.67 is: 1,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.83 : 2,741.87 = 1,102.67 : x
  2. Step 2: Convert to fraction form
    1,986.83/2,741.87 = 1,102.67/x
  3. Step 3: Cross multiply
    1,986.83x = 2,741.87 × 1,102.67
  4. Step 4: Simplify right side
    1,986.83x = 3,023,358.57
  5. Step 5: Solve for x
    x = 3,023,358.57/1,986.83
  6. Step 6: Final answer
    x = 1,521.70

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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.