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Finding the Fourth Proportional to 2,890.67, 4,336.13 and 1,309.10

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Solution

The fourth proportional to 2,890.67, 4,336.13 and 1,309.10 is: 1,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.67 : 4,336.13 = 1,309.10 : x
  2. Step 2: Convert to fraction form
    2,890.67/4,336.13 = 1,309.10/x
  3. Step 3: Cross multiply
    2,890.67x = 4,336.13 × 1,309.10
  4. Step 4: Simplify right side
    2,890.67x = 5,676,441.90
  5. Step 5: Solve for x
    x = 5,676,441.90/2,890.67
  6. Step 6: Final answer
    x = 1,963.71

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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.