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Finding the Fourth Proportional to 3,184.97, 4,774.21 and 1,337.36

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Solution

The fourth proportional to 3,184.97, 4,774.21 and 1,337.36 is: 2,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.97 : 4,774.21 = 1,337.36 : x
  2. Step 2: Convert to fraction form
    3,184.97/4,774.21 = 1,337.36/x
  3. Step 3: Cross multiply
    3,184.97x = 4,774.21 × 1,337.36
  4. Step 4: Simplify right side
    3,184.97x = 6,384,810.27
  5. Step 5: Solve for x
    x = 6,384,810.27/3,184.97
  6. Step 6: Final answer
    x = 2,004.67

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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.