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Finding the Fourth Proportional to 2,652.94, 3,650.43 and 2,231.74

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Solution

The fourth proportional to 2,652.94, 3,650.43 and 2,231.74 is: 3,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.94 : 3,650.43 = 2,231.74 : x
  2. Step 2: Convert to fraction form
    2,652.94/3,650.43 = 2,231.74/x
  3. Step 3: Cross multiply
    2,652.94x = 3,650.43 × 2,231.74
  4. Step 4: Simplify right side
    2,652.94x = 8,146,810.65
  5. Step 5: Solve for x
    x = 8,146,810.65/2,652.94
  6. Step 6: Final answer
    x = 3,070.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.