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Finding the Fourth Proportional to 2,151.45, 3,225.08 and 919.17

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Solution

The fourth proportional to 2,151.45, 3,225.08 and 919.17 is: 1,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.45 : 3,225.08 = 919.17 : x
  2. Step 2: Convert to fraction form
    2,151.45/3,225.08 = 919.17/x
  3. Step 3: Cross multiply
    2,151.45x = 3,225.08 × 919.17
  4. Step 4: Simplify right side
    2,151.45x = 2,964,399.08
  5. Step 5: Solve for x
    x = 2,964,399.08/2,151.45
  6. Step 6: Final answer
    x = 1,377.86

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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.