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Finding the Fourth Proportional to 2,717.16, 4,076.12 and 986.16

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Solution

The fourth proportional to 2,717.16, 4,076.12 and 986.16 is: 1,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.16 : 4,076.12 = 986.16 : x
  2. Step 2: Convert to fraction form
    2,717.16/4,076.12 = 986.16/x
  3. Step 3: Cross multiply
    2,717.16x = 4,076.12 × 986.16
  4. Step 4: Simplify right side
    2,717.16x = 4,019,706.50
  5. Step 5: Solve for x
    x = 4,019,706.50/2,717.16
  6. Step 6: Final answer
    x = 1,479.38

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Why These Related Problems?

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