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Finding the Fourth Proportional to 2,264.96, 3,122.72 and 1,466.87

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Solution

The fourth proportional to 2,264.96, 3,122.72 and 1,466.87 is: 2,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.96 : 3,122.72 = 1,466.87 : x
  2. Step 2: Convert to fraction form
    2,264.96/3,122.72 = 1,466.87/x
  3. Step 3: Cross multiply
    2,264.96x = 3,122.72 × 1,466.87
  4. Step 4: Simplify right side
    2,264.96x = 4,580,601.34
  5. Step 5: Solve for x
    x = 4,580,601.34/2,264.96
  6. Step 6: Final answer
    x = 2,022.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.