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Finding the Fourth Proportional to 2,014.39, 2,778.42 and 1,748.44

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Solution

The fourth proportional to 2,014.39, 2,778.42 and 1,748.44 is: 2,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.39 : 2,778.42 = 1,748.44 : x
  2. Step 2: Convert to fraction form
    2,014.39/2,778.42 = 1,748.44/x
  3. Step 3: Cross multiply
    2,014.39x = 2,778.42 × 1,748.44
  4. Step 4: Simplify right side
    2,014.39x = 4,857,900.66
  5. Step 5: Solve for x
    x = 4,857,900.66/2,014.39
  6. Step 6: Final answer
    x = 2,411.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.