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Finding the Fourth Proportional to 1,986.78, 2,741.91 and 1,102.67

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Solution

The fourth proportional to 1,986.78, 2,741.91 and 1,102.67 is: 1,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.78 : 2,741.91 = 1,102.67 : x
  2. Step 2: Convert to fraction form
    1,986.78/2,741.91 = 1,102.67/x
  3. Step 3: Cross multiply
    1,986.78x = 2,741.91 × 1,102.67
  4. Step 4: Simplify right side
    1,986.78x = 3,023,421.90
  5. Step 5: Solve for x
    x = 3,023,421.90/1,986.78
  6. Step 6: Final answer
    x = 1,521.77

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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.