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Finding the Fourth Proportional to 1,466.17, 2,198.95 and 541.49

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Solution

The fourth proportional to 1,466.17, 2,198.95 and 541.49 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.17 : 2,198.95 = 541.49 : x
  2. Step 2: Convert to fraction form
    1,466.17/2,198.95 = 541.49/x
  3. Step 3: Cross multiply
    1,466.17x = 2,198.95 × 541.49
  4. Step 4: Simplify right side
    1,466.17x = 1,190,697.09
  5. Step 5: Solve for x
    x = 1,190,697.09/1,466.17
  6. Step 6: Final answer
    x = 812.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.