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Finding the Fourth Proportional to 2,327.28, 3,212.28 and 1,500.72

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Solution

The fourth proportional to 2,327.28, 3,212.28 and 1,500.72 is: 2,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.28 : 3,212.28 = 1,500.72 : x
  2. Step 2: Convert to fraction form
    2,327.28/3,212.28 = 1,500.72/x
  3. Step 3: Cross multiply
    2,327.28x = 3,212.28 × 1,500.72
  4. Step 4: Simplify right side
    2,327.28x = 4,820,732.84
  5. Step 5: Solve for x
    x = 4,820,732.84/2,327.28
  6. Step 6: Final answer
    x = 2,071.40

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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.