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Finding the Fourth Proportional to 2,717.41, 4,076.52 and 985.63

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Solution

The fourth proportional to 2,717.41, 4,076.52 and 985.63 is: 1,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.41 : 4,076.52 = 985.63 : x
  2. Step 2: Convert to fraction form
    2,717.41/4,076.52 = 985.63/x
  3. Step 3: Cross multiply
    2,717.41x = 4,076.52 × 985.63
  4. Step 4: Simplify right side
    2,717.41x = 4,017,940.41
  5. Step 5: Solve for x
    x = 4,017,940.41/2,717.41
  6. Step 6: Final answer
    x = 1,478.59

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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.