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Finding the Fourth Proportional to 3,112.70, 4,665.38 and 1,359.14

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Solution

The fourth proportional to 3,112.70, 4,665.38 and 1,359.14 is: 2,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.70 : 4,665.38 = 1,359.14 : x
  2. Step 2: Convert to fraction form
    3,112.70/4,665.38 = 1,359.14/x
  3. Step 3: Cross multiply
    3,112.70x = 4,665.38 × 1,359.14
  4. Step 4: Simplify right side
    3,112.70x = 6,340,874.45
  5. Step 5: Solve for x
    x = 6,340,874.45/3,112.70
  6. Step 6: Final answer
    x = 2,037.10

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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.