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Finding the Fourth Proportional to 2,717.07, 4,076.16 and 962.01

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Solution

The fourth proportional to 2,717.07, 4,076.16 and 962.01 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.07 : 4,076.16 = 962.01 : x
  2. Step 2: Convert to fraction form
    2,717.07/4,076.16 = 962.01/x
  3. Step 3: Cross multiply
    2,717.07x = 4,076.16 × 962.01
  4. Step 4: Simplify right side
    2,717.07x = 3,921,306.68
  5. Step 5: Solve for x
    x = 3,921,306.68/2,717.07
  6. Step 6: Final answer
    x = 1,443.21

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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.