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Finding the Fourth Proportional to 3,141.72, 4,707.56 and 1,660.88

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Solution

The fourth proportional to 3,141.72, 4,707.56 and 1,660.88 is: 2,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.72 : 4,707.56 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    3,141.72/4,707.56 = 1,660.88/x
  3. Step 3: Cross multiply
    3,141.72x = 4,707.56 × 1,660.88
  4. Step 4: Simplify right side
    3,141.72x = 7,818,692.25
  5. Step 5: Solve for x
    x = 7,818,692.25/3,141.72
  6. Step 6: Final answer
    x = 2,488.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.