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Finding the Fourth Proportional to 2,560.43, 3,840.66 and 917.46

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Solution

The fourth proportional to 2,560.43, 3,840.66 and 917.46 is: 1,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.43 : 3,840.66 = 917.46 : x
  2. Step 2: Convert to fraction form
    2,560.43/3,840.66 = 917.46/x
  3. Step 3: Cross multiply
    2,560.43x = 3,840.66 × 917.46
  4. Step 4: Simplify right side
    2,560.43x = 3,523,651.92
  5. Step 5: Solve for x
    x = 3,523,651.92/2,560.43
  6. Step 6: Final answer
    x = 1,376.19

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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.