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Finding the Fourth Proportional to 2,019.72, 2,785.83 and 1,423.47

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Solution

The fourth proportional to 2,019.72, 2,785.83 and 1,423.47 is: 1,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 2,785.83 = 1,423.47 : x
  2. Step 2: Convert to fraction form
    2,019.72/2,785.83 = 1,423.47/x
  3. Step 3: Cross multiply
    2,019.72x = 2,785.83 × 1,423.47
  4. Step 4: Simplify right side
    2,019.72x = 3,965,545.43
  5. Step 5: Solve for x
    x = 3,965,545.43/2,019.72
  6. Step 6: Final answer
    x = 1,963.41

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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.