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Finding the Fourth Proportional to 1,971.74, 2,721.26 and 1,639.60

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Solution

The fourth proportional to 1,971.74, 2,721.26 and 1,639.60 is: 2,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.74 : 2,721.26 = 1,639.60 : x
  2. Step 2: Convert to fraction form
    1,971.74/2,721.26 = 1,639.60/x
  3. Step 3: Cross multiply
    1,971.74x = 2,721.26 × 1,639.60
  4. Step 4: Simplify right side
    1,971.74x = 4,461,777.90
  5. Step 5: Solve for x
    x = 4,461,777.90/1,971.74
  6. Step 6: Final answer
    x = 2,262.86

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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.