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Finding the Fourth Proportional to 2,304.67, 3,457.70 and 1,072.82

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Solution

The fourth proportional to 2,304.67, 3,457.70 and 1,072.82 is: 1,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.67 : 3,457.70 = 1,072.82 : x
  2. Step 2: Convert to fraction form
    2,304.67/3,457.70 = 1,072.82/x
  3. Step 3: Cross multiply
    2,304.67x = 3,457.70 × 1,072.82
  4. Step 4: Simplify right side
    2,304.67x = 3,709,489.71
  5. Step 5: Solve for x
    x = 3,709,489.71/2,304.67
  6. Step 6: Final answer
    x = 1,609.55

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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.