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Finding the Fourth Proportional to 2,560.89, 3,841.38 and 917.85

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Solution

The fourth proportional to 2,560.89, 3,841.38 and 917.85 is: 1,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.89 : 3,841.38 = 917.85 : x
  2. Step 2: Convert to fraction form
    2,560.89/3,841.38 = 917.85/x
  3. Step 3: Cross multiply
    2,560.89x = 3,841.38 × 917.85
  4. Step 4: Simplify right side
    2,560.89x = 3,525,810.63
  5. Step 5: Solve for x
    x = 3,525,810.63/2,560.89
  6. Step 6: Final answer
    x = 1,376.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.