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Finding the Fourth Proportional to 2,336.62, 3,498.54 and 1,512.86

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Solution

The fourth proportional to 2,336.62, 3,498.54 and 1,512.86 is: 2,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.62 : 3,498.54 = 1,512.86 : x
  2. Step 2: Convert to fraction form
    2,336.62/3,498.54 = 1,512.86/x
  3. Step 3: Cross multiply
    2,336.62x = 3,498.54 × 1,512.86
  4. Step 4: Simplify right side
    2,336.62x = 5,292,801.22
  5. Step 5: Solve for x
    x = 5,292,801.22/2,336.62
  6. Step 6: Final answer
    x = 2,265.15

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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.