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Finding the Fourth Proportional to 1,621.28, 2,237.48 and 922.72

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Solution

The fourth proportional to 1,621.28, 2,237.48 and 922.72 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.28 : 2,237.48 = 922.72 : x
  2. Step 2: Convert to fraction form
    1,621.28/2,237.48 = 922.72/x
  3. Step 3: Cross multiply
    1,621.28x = 2,237.48 × 922.72
  4. Step 4: Simplify right side
    1,621.28x = 2,064,567.55
  5. Step 5: Solve for x
    x = 2,064,567.55/1,621.28
  6. Step 6: Final answer
    x = 1,273.42

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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.