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Finding the Fourth Proportional to 2,661.26, 3,971.07 and 2,384.53

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Solution

The fourth proportional to 2,661.26, 3,971.07 and 2,384.53 is: 3,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.26 : 3,971.07 = 2,384.53 : x
  2. Step 2: Convert to fraction form
    2,661.26/3,971.07 = 2,384.53/x
  3. Step 3: Cross multiply
    2,661.26x = 3,971.07 × 2,384.53
  4. Step 4: Simplify right side
    2,661.26x = 9,469,125.62
  5. Step 5: Solve for x
    x = 9,469,125.62/2,661.26
  6. Step 6: Final answer
    x = 3,558.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.