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Finding the Fourth Proportional to 3,144.51, 4,716.63 and 836.01

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Solution

The fourth proportional to 3,144.51, 4,716.63 and 836.01 is: 1,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.51 : 4,716.63 = 836.01 : x
  2. Step 2: Convert to fraction form
    3,144.51/4,716.63 = 836.01/x
  3. Step 3: Cross multiply
    3,144.51x = 4,716.63 × 836.01
  4. Step 4: Simplify right side
    3,144.51x = 3,943,149.85
  5. Step 5: Solve for x
    x = 3,943,149.85/3,144.51
  6. Step 6: Final answer
    x = 1,253.98

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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.