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Finding the Fourth Proportional to 1,466.91, 2,200.37 and 371.28

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Solution

The fourth proportional to 1,466.91, 2,200.37 and 371.28 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.91 : 2,200.37 = 371.28 : x
  2. Step 2: Convert to fraction form
    1,466.91/2,200.37 = 371.28/x
  3. Step 3: Cross multiply
    1,466.91x = 2,200.37 × 371.28
  4. Step 4: Simplify right side
    1,466.91x = 816,959.77
  5. Step 5: Solve for x
    x = 816,959.77/1,466.91
  6. Step 6: Final answer
    x = 556.93

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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.