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Finding the Fourth Proportional to 3,266.18, 4,900.71 and 1,622.78

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Solution

The fourth proportional to 3,266.18, 4,900.71 and 1,622.78 is: 2,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.18 : 4,900.71 = 1,622.78 : x
  2. Step 2: Convert to fraction form
    3,266.18/4,900.71 = 1,622.78/x
  3. Step 3: Cross multiply
    3,266.18x = 4,900.71 × 1,622.78
  4. Step 4: Simplify right side
    3,266.18x = 7,952,774.17
  5. Step 5: Solve for x
    x = 7,952,774.17/3,266.18
  6. Step 6: Final answer
    x = 2,434.89

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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.