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Finding the Fourth Proportional to 2,427.73, 3,640.54 and 925.76

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Solution

The fourth proportional to 2,427.73, 3,640.54 and 925.76 is: 1,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.73 : 3,640.54 = 925.76 : x
  2. Step 2: Convert to fraction form
    2,427.73/3,640.54 = 925.76/x
  3. Step 3: Cross multiply
    2,427.73x = 3,640.54 × 925.76
  4. Step 4: Simplify right side
    2,427.73x = 3,370,266.31
  5. Step 5: Solve for x
    x = 3,370,266.31/2,427.73
  6. Step 6: Final answer
    x = 1,388.24

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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.