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Finding the Fourth Proportional to 2,560.52, 3,841.78 and 2,071.50

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Solution

The fourth proportional to 2,560.52, 3,841.78 and 2,071.50 is: 3,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.52 : 3,841.78 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    2,560.52/3,841.78 = 2,071.50/x
  3. Step 3: Cross multiply
    2,560.52x = 3,841.78 × 2,071.50
  4. Step 4: Simplify right side
    2,560.52x = 7,958,247.27
  5. Step 5: Solve for x
    x = 7,958,247.27/2,560.52
  6. Step 6: Final answer
    x = 3,108.06

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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.