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Finding the Fourth Proportional to 2,441.49, 3,661.26 and 880.94

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Solution

The fourth proportional to 2,441.49, 3,661.26 and 880.94 is: 1,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.49 : 3,661.26 = 880.94 : x
  2. Step 2: Convert to fraction form
    2,441.49/3,661.26 = 880.94/x
  3. Step 3: Cross multiply
    2,441.49x = 3,661.26 × 880.94
  4. Step 4: Simplify right side
    2,441.49x = 3,225,332.08
  5. Step 5: Solve for x
    x = 3,225,332.08/2,441.49
  6. Step 6: Final answer
    x = 1,321.05

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1.5x scale

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.