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Finding the Fourth Proportional to 3,262.56, 4,500 and 2,002.56

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Solution

The fourth proportional to 3,262.56, 4,500 and 2,002.56 is: 2,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.56 : 4,500 = 2,002.56 : x
  2. Step 2: Convert to fraction form
    3,262.56/4,500 = 2,002.56/x
  3. Step 3: Cross multiply
    3,262.56x = 4,500 × 2,002.56
  4. Step 4: Simplify right side
    3,262.56x = 9,011,520
  5. Step 5: Solve for x
    x = 9,011,520/3,262.56
  6. Step 6: Final answer
    x = 2,762.10

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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.