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Finding the Fourth Proportional to 2,672.02, 4,001.55 and 1,847.98

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Solution

The fourth proportional to 2,672.02, 4,001.55 and 1,847.98 is: 2,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.02 : 4,001.55 = 1,847.98 : x
  2. Step 2: Convert to fraction form
    2,672.02/4,001.55 = 1,847.98/x
  3. Step 3: Cross multiply
    2,672.02x = 4,001.55 × 1,847.98
  4. Step 4: Simplify right side
    2,672.02x = 7,394,784.37
  5. Step 5: Solve for x
    x = 7,394,784.37/2,672.02
  6. Step 6: Final answer
    x = 2,767.49

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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.