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Finding the Fourth Proportional to 2,691.50, 4,036.98 and 1,962.50

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Solution

The fourth proportional to 2,691.50, 4,036.98 and 1,962.50 is: 2,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.50 : 4,036.98 = 1,962.50 : x
  2. Step 2: Convert to fraction form
    2,691.50/4,036.98 = 1,962.50/x
  3. Step 3: Cross multiply
    2,691.50x = 4,036.98 × 1,962.50
  4. Step 4: Simplify right side
    2,691.50x = 7,922,573.25
  5. Step 5: Solve for x
    x = 7,922,573.25/2,691.50
  6. Step 6: Final answer
    x = 2,943.55

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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.