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Finding the Fourth Proportional to 3,166.70, 4,754.85 and 2,437.10

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Solution

The fourth proportional to 3,166.70, 4,754.85 and 2,437.10 is: 3,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.70 : 4,754.85 = 2,437.10 : x
  2. Step 2: Convert to fraction form
    3,166.70/4,754.85 = 2,437.10/x
  3. Step 3: Cross multiply
    3,166.70x = 4,754.85 × 2,437.10
  4. Step 4: Simplify right side
    3,166.70x = 11,588,044.94
  5. Step 5: Solve for x
    x = 11,588,044.94/3,166.70
  6. Step 6: Final answer
    x = 3,659.34

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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.