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Finding the Fourth Proportional to 2,560.83, 3,841.25 and 917.48

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Solution

The fourth proportional to 2,560.83, 3,841.25 and 917.48 is: 1,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.83 : 3,841.25 = 917.48 : x
  2. Step 2: Convert to fraction form
    2,560.83/3,841.25 = 917.48/x
  3. Step 3: Cross multiply
    2,560.83x = 3,841.25 × 917.48
  4. Step 4: Simplify right side
    2,560.83x = 3,524,246.26
  5. Step 5: Solve for x
    x = 3,524,246.26/2,560.83
  6. Step 6: Final answer
    x = 1,376.21

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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.