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Finding the Fourth Proportional to 2,560.81, 3,841.53 and 917.53

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Solution

The fourth proportional to 2,560.81, 3,841.53 and 917.53 is: 1,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.81 : 3,841.53 = 917.53 : x
  2. Step 2: Convert to fraction form
    2,560.81/3,841.53 = 917.53/x
  3. Step 3: Cross multiply
    2,560.81x = 3,841.53 × 917.53
  4. Step 4: Simplify right side
    2,560.81x = 3,524,719.02
  5. Step 5: Solve for x
    x = 3,524,719.02/2,560.81
  6. Step 6: Final answer
    x = 1,376.41

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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.