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Finding the Fourth Proportional to 2,343.06, 3,514.62 and 611.70

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Solution

The fourth proportional to 2,343.06, 3,514.62 and 611.70 is: 917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.06 : 3,514.62 = 611.70 : x
  2. Step 2: Convert to fraction form
    2,343.06/3,514.62 = 611.70/x
  3. Step 3: Cross multiply
    2,343.06x = 3,514.62 × 611.70
  4. Step 4: Simplify right side
    2,343.06x = 2,149,893.05
  5. Step 5: Solve for x
    x = 2,149,893.05/2,343.06
  6. Step 6: Final answer
    x = 917.56

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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.