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Finding the Fourth Proportional to 2,523.28, 3,785.32 and 880.06

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Solution

The fourth proportional to 2,523.28, 3,785.32 and 880.06 is: 1,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.28 : 3,785.32 = 880.06 : x
  2. Step 2: Convert to fraction form
    2,523.28/3,785.32 = 880.06/x
  3. Step 3: Cross multiply
    2,523.28x = 3,785.32 × 880.06
  4. Step 4: Simplify right side
    2,523.28x = 3,331,308.72
  5. Step 5: Solve for x
    x = 3,331,308.72/2,523.28
  6. Step 6: Final answer
    x = 1,320.23

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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.