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Finding the Fourth Proportional to 2,706.24, 4,052.52 and 2,266.41

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Solution

The fourth proportional to 2,706.24, 4,052.52 and 2,266.41 is: 3,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.24 : 4,052.52 = 2,266.41 : x
  2. Step 2: Convert to fraction form
    2,706.24/4,052.52 = 2,266.41/x
  3. Step 3: Cross multiply
    2,706.24x = 4,052.52 × 2,266.41
  4. Step 4: Simplify right side
    2,706.24x = 9,184,671.85
  5. Step 5: Solve for x
    x = 9,184,671.85/2,706.24
  6. Step 6: Final answer
    x = 3,393.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.