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Finding the Fourth Proportional to 2,179.72, 3,256.25 and 1,795.24

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Solution

The fourth proportional to 2,179.72, 3,256.25 and 1,795.24 is: 2,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.72 : 3,256.25 = 1,795.24 : x
  2. Step 2: Convert to fraction form
    2,179.72/3,256.25 = 1,795.24/x
  3. Step 3: Cross multiply
    2,179.72x = 3,256.25 × 1,795.24
  4. Step 4: Simplify right side
    2,179.72x = 5,845,750.25
  5. Step 5: Solve for x
    x = 5,845,750.25/2,179.72
  6. Step 6: Final answer
    x = 2,681.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.