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Finding the Fourth Proportional to 1,466.37, 2,195.91 and 736.29

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Solution

The fourth proportional to 1,466.37, 2,195.91 and 736.29 is: 1,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.37 : 2,195.91 = 736.29 : x
  2. Step 2: Convert to fraction form
    1,466.37/2,195.91 = 736.29/x
  3. Step 3: Cross multiply
    1,466.37x = 2,195.91 × 736.29
  4. Step 4: Simplify right side
    1,466.37x = 1,616,826.57
  5. Step 5: Solve for x
    x = 1,616,826.57/1,466.37
  6. Step 6: Final answer
    x = 1,102.60

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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.