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Finding the Fourth Proportional to 1,843.90, 2,532.46 and 1,708.62

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Solution

The fourth proportional to 1,843.90, 2,532.46 and 1,708.62 is: 2,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.90 : 2,532.46 = 1,708.62 : x
  2. Step 2: Convert to fraction form
    1,843.90/2,532.46 = 1,708.62/x
  3. Step 3: Cross multiply
    1,843.90x = 2,532.46 × 1,708.62
  4. Step 4: Simplify right side
    1,843.90x = 4,327,011.81
  5. Step 5: Solve for x
    x = 4,327,011.81/1,843.90
  6. Step 6: Final answer
    x = 2,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.