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Finding the Fourth Proportional to 2,891.40, 4,329.90 and 2,315.40

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Solution

The fourth proportional to 2,891.40, 4,329.90 and 2,315.40 is: 3,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 4,329.90 = 2,315.40 : x
  2. Step 2: Convert to fraction form
    2,891.40/4,329.90 = 2,315.40/x
  3. Step 3: Cross multiply
    2,891.40x = 4,329.90 × 2,315.40
  4. Step 4: Simplify right side
    2,891.40x = 10,025,450.46
  5. Step 5: Solve for x
    x = 10,025,450.46/2,891.40
  6. Step 6: Final answer
    x = 3,467.33

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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.