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Finding the Fourth Proportional to 2,292.83, 3,164.36 and 1,919.15

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Solution

The fourth proportional to 2,292.83, 3,164.36 and 1,919.15 is: 2,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.83 : 3,164.36 = 1,919.15 : x
  2. Step 2: Convert to fraction form
    2,292.83/3,164.36 = 1,919.15/x
  3. Step 3: Cross multiply
    2,292.83x = 3,164.36 × 1,919.15
  4. Step 4: Simplify right side
    2,292.83x = 6,072,856.08
  5. Step 5: Solve for x
    x = 6,072,856.08/2,292.83
  6. Step 6: Final answer
    x = 2,648.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.