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Finding the Fourth Proportional to 2,717.38, 4,076.55 and 985.78

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Solution

The fourth proportional to 2,717.38, 4,076.55 and 985.78 is: 1,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.38 : 4,076.55 = 985.78 : x
  2. Step 2: Convert to fraction form
    2,717.38/4,076.55 = 985.78/x
  3. Step 3: Cross multiply
    2,717.38x = 4,076.55 × 985.78
  4. Step 4: Simplify right side
    2,717.38x = 4,018,581.46
  5. Step 5: Solve for x
    x = 4,018,581.46/2,717.38
  6. Step 6: Final answer
    x = 1,478.84

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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.