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Finding the Fourth Proportional to 2,349.19, 3,520.77 and 886.60

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Solution

The fourth proportional to 2,349.19, 3,520.77 and 886.60 is: 1,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.19 : 3,520.77 = 886.60 : x
  2. Step 2: Convert to fraction form
    2,349.19/3,520.77 = 886.60/x
  3. Step 3: Cross multiply
    2,349.19x = 3,520.77 × 886.60
  4. Step 4: Simplify right side
    2,349.19x = 3,121,514.68
  5. Step 5: Solve for x
    x = 3,121,514.68/2,349.19
  6. Step 6: Final answer
    x = 1,328.76

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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.