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Finding the Fourth Proportional to 3,343.86, 4,614.42 and 1,851.78

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Solution

The fourth proportional to 3,343.86, 4,614.42 and 1,851.78 is: 2,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.86 : 4,614.42 = 1,851.78 : x
  2. Step 2: Convert to fraction form
    3,343.86/4,614.42 = 1,851.78/x
  3. Step 3: Cross multiply
    3,343.86x = 4,614.42 × 1,851.78
  4. Step 4: Simplify right side
    3,343.86x = 8,544,890.67
  5. Step 5: Solve for x
    x = 8,544,890.67/3,343.86
  6. Step 6: Final answer
    x = 2,555.40

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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.