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Finding the Fourth Proportional to 2,117.33, 3,175.38 and 730.61

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Solution

The fourth proportional to 2,117.33, 3,175.38 and 730.61 is: 1,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.33 : 3,175.38 = 730.61 : x
  2. Step 2: Convert to fraction form
    2,117.33/3,175.38 = 730.61/x
  3. Step 3: Cross multiply
    2,117.33x = 3,175.38 × 730.61
  4. Step 4: Simplify right side
    2,117.33x = 2,319,948.50
  5. Step 5: Solve for x
    x = 2,319,948.50/2,117.33
  6. Step 6: Final answer
    x = 1,095.70

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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.