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Finding the Fourth Proportional to 2,836.03, 4,253.52 and 962.02

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Solution

The fourth proportional to 2,836.03, 4,253.52 and 962.02 is: 1,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.03 : 4,253.52 = 962.02 : x
  2. Step 2: Convert to fraction form
    2,836.03/4,253.52 = 962.02/x
  3. Step 3: Cross multiply
    2,836.03x = 4,253.52 × 962.02
  4. Step 4: Simplify right side
    2,836.03x = 4,091,971.31
  5. Step 5: Solve for x
    x = 4,091,971.31/2,836.03
  6. Step 6: Final answer
    x = 1,442.85

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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.