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Finding the Fourth Proportional to 2,523.66, 3,785.22 and 880.08

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Solution

The fourth proportional to 2,523.66, 3,785.22 and 880.08 is: 1,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.66 : 3,785.22 = 880.08 : x
  2. Step 2: Convert to fraction form
    2,523.66/3,785.22 = 880.08/x
  3. Step 3: Cross multiply
    2,523.66x = 3,785.22 × 880.08
  4. Step 4: Simplify right side
    2,523.66x = 3,331,296.42
  5. Step 5: Solve for x
    x = 3,331,296.42/2,523.66
  6. Step 6: Final answer
    x = 1,320.03

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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.