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Finding the Fourth Proportional to 2,701.15, 4,051.69 and 827.02

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Solution

The fourth proportional to 2,701.15, 4,051.69 and 827.02 is: 1,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.15 : 4,051.69 = 827.02 : x
  2. Step 2: Convert to fraction form
    2,701.15/4,051.69 = 827.02/x
  3. Step 3: Cross multiply
    2,701.15x = 4,051.69 × 827.02
  4. Step 4: Simplify right side
    2,701.15x = 3,350,828.66
  5. Step 5: Solve for x
    x = 3,350,828.66/2,701.15
  6. Step 6: Final answer
    x = 1,240.52

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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.