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Finding the Fourth Proportional to 3,175.08, 4,758.07 and 1,785.50

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Solution

The fourth proportional to 3,175.08, 4,758.07 and 1,785.50 is: 2,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.08 : 4,758.07 = 1,785.50 : x
  2. Step 2: Convert to fraction form
    3,175.08/4,758.07 = 1,785.50/x
  3. Step 3: Cross multiply
    3,175.08x = 4,758.07 × 1,785.50
  4. Step 4: Simplify right side
    3,175.08x = 8,495,514.66
  5. Step 5: Solve for x
    x = 8,495,514.66/3,175.08
  6. Step 6: Final answer
    x = 2,675.69

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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.