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Finding the Fourth Proportional to 3,141.37, 4,709.62 and 1,498.69

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Solution

The fourth proportional to 3,141.37, 4,709.62 and 1,498.69 is: 2,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.37 : 4,709.62 = 1,498.69 : x
  2. Step 2: Convert to fraction form
    3,141.37/4,709.62 = 1,498.69/x
  3. Step 3: Cross multiply
    3,141.37x = 4,709.62 × 1,498.69
  4. Step 4: Simplify right side
    3,141.37x = 7,058,244.88
  5. Step 5: Solve for x
    x = 7,058,244.88/3,141.37
  6. Step 6: Final answer
    x = 2,246.87

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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.