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Finding the Fourth Proportional to 2,361.15, 3,541.74 and 880.71

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Solution

The fourth proportional to 2,361.15, 3,541.74 and 880.71 is: 1,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.15 : 3,541.74 = 880.71 : x
  2. Step 2: Convert to fraction form
    2,361.15/3,541.74 = 880.71/x
  3. Step 3: Cross multiply
    2,361.15x = 3,541.74 × 880.71
  4. Step 4: Simplify right side
    2,361.15x = 3,119,245.84
  5. Step 5: Solve for x
    x = 3,119,245.84/2,361.15
  6. Step 6: Final answer
    x = 1,321.07

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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.