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Finding the Fourth Proportional to 1,466.89, 2,200.41 and 371.26

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Solution

The fourth proportional to 1,466.89, 2,200.41 and 371.26 is: 556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.89 : 2,200.41 = 371.26 : x
  2. Step 2: Convert to fraction form
    1,466.89/2,200.41 = 371.26/x
  3. Step 3: Cross multiply
    1,466.89x = 2,200.41 × 371.26
  4. Step 4: Simplify right side
    1,466.89x = 816,925.57
  5. Step 5: Solve for x
    x = 816,925.57/1,466.89
  6. Step 6: Final answer
    x = 556.91

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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.