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Finding the Fourth Proportional to 2,014.19, 2,778.54 and 1,266.74

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Solution

The fourth proportional to 2,014.19, 2,778.54 and 1,266.74 is: 1,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.19 : 2,778.54 = 1,266.74 : x
  2. Step 2: Convert to fraction form
    2,014.19/2,778.54 = 1,266.74/x
  3. Step 3: Cross multiply
    2,014.19x = 2,778.54 × 1,266.74
  4. Step 4: Simplify right side
    2,014.19x = 3,519,689.96
  5. Step 5: Solve for x
    x = 3,519,689.96/2,014.19
  6. Step 6: Final answer
    x = 1,747.44

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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.