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Finding the Fourth Proportional to 1,466.87, 2,200.10 and 371.17

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Solution

The fourth proportional to 1,466.87, 2,200.10 and 371.17 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.87 : 2,200.10 = 371.17 : x
  2. Step 2: Convert to fraction form
    1,466.87/2,200.10 = 371.17/x
  3. Step 3: Cross multiply
    1,466.87x = 2,200.10 × 371.17
  4. Step 4: Simplify right side
    1,466.87x = 816,606.54
  5. Step 5: Solve for x
    x = 816,606.54/1,466.87
  6. Step 6: Final answer
    x = 556.70

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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.