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Finding the Fourth Proportional to 2,717.22, 4,076.43 and 985.80

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Solution

The fourth proportional to 2,717.22, 4,076.43 and 985.80 is: 1,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.22 : 4,076.43 = 985.80 : x
  2. Step 2: Convert to fraction form
    2,717.22/4,076.43 = 985.80/x
  3. Step 3: Cross multiply
    2,717.22x = 4,076.43 × 985.80
  4. Step 4: Simplify right side
    2,717.22x = 4,018,544.69
  5. Step 5: Solve for x
    x = 4,018,544.69/2,717.22
  6. Step 6: Final answer
    x = 1,478.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.