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Finding the Fourth Proportional to 2,366.62, 3,265.93 and 1,318.68

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Solution

The fourth proportional to 2,366.62, 3,265.93 and 1,318.68 is: 1,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.62 : 3,265.93 = 1,318.68 : x
  2. Step 2: Convert to fraction form
    2,366.62/3,265.93 = 1,318.68/x
  3. Step 3: Cross multiply
    2,366.62x = 3,265.93 × 1,318.68
  4. Step 4: Simplify right side
    2,366.62x = 4,306,714.51
  5. Step 5: Solve for x
    x = 4,306,714.51/2,366.62
  6. Step 6: Final answer
    x = 1,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.