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Finding the Fourth Proportional to 1,851.26, 2,778.78 and 1,444.84

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Solution

The fourth proportional to 1,851.26, 2,778.78 and 1,444.84 is: 2,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.26 : 2,778.78 = 1,444.84 : x
  2. Step 2: Convert to fraction form
    1,851.26/2,778.78 = 1,444.84/x
  3. Step 3: Cross multiply
    1,851.26x = 2,778.78 × 1,444.84
  4. Step 4: Simplify right side
    1,851.26x = 4,014,892.50
  5. Step 5: Solve for x
    x = 4,014,892.50/1,851.26
  6. Step 6: Final answer
    x = 2,168.74

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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.