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Finding the Fourth Proportional to 2,805.76, 3,871.97 and 1,627.53

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Solution

The fourth proportional to 2,805.76, 3,871.97 and 1,627.53 is: 2,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.76 : 3,871.97 = 1,627.53 : x
  2. Step 2: Convert to fraction form
    2,805.76/3,871.97 = 1,627.53/x
  3. Step 3: Cross multiply
    2,805.76x = 3,871.97 × 1,627.53
  4. Step 4: Simplify right side
    2,805.76x = 6,301,747.33
  5. Step 5: Solve for x
    x = 6,301,747.33/2,805.76
  6. Step 6: Final answer
    x = 2,246.00

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