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Finding the Fourth Proportional to 1,466.81, 2,200.13 and 371.11

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Solution

The fourth proportional to 1,466.81, 2,200.13 and 371.11 is: 556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.81 : 2,200.13 = 371.11 : x
  2. Step 2: Convert to fraction form
    1,466.81/2,200.13 = 371.11/x
  3. Step 3: Cross multiply
    1,466.81x = 2,200.13 × 371.11
  4. Step 4: Simplify right side
    1,466.81x = 816,490.24
  5. Step 5: Solve for x
    x = 816,490.24/1,466.81
  6. Step 6: Final answer
    x = 556.64

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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.