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Finding the Fourth Proportional to 2,870.46, 4,306.12 and 1,227

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Solution

The fourth proportional to 2,870.46, 4,306.12 and 1,227 is: 1,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.46 : 4,306.12 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,870.46/4,306.12 = 1,227/x
  3. Step 3: Cross multiply
    2,870.46x = 4,306.12 × 1,227
  4. Step 4: Simplify right side
    2,870.46x = 5,283,609.24
  5. Step 5: Solve for x
    x = 5,283,609.24/2,870.46
  6. Step 6: Final answer
    x = 1,840.68

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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.