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Finding the Fourth Proportional to 2,732.37, 4,102.01 and 2,275.74

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Solution

The fourth proportional to 2,732.37, 4,102.01 and 2,275.74 is: 3,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.37 : 4,102.01 = 2,275.74 : x
  2. Step 2: Convert to fraction form
    2,732.37/4,102.01 = 2,275.74/x
  3. Step 3: Cross multiply
    2,732.37x = 4,102.01 × 2,275.74
  4. Step 4: Simplify right side
    2,732.37x = 9,335,108.24
  5. Step 5: Solve for x
    x = 9,335,108.24/2,732.37
  6. Step 6: Final answer
    x = 3,416.49

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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.