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Finding the Fourth Proportional to 1,993.91, 2,752.25 and 1,783.71

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Solution

The fourth proportional to 1,993.91, 2,752.25 and 1,783.71 is: 2,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.91 : 2,752.25 = 1,783.71 : x
  2. Step 2: Convert to fraction form
    1,993.91/2,752.25 = 1,783.71/x
  3. Step 3: Cross multiply
    1,993.91x = 2,752.25 × 1,783.71
  4. Step 4: Simplify right side
    1,993.91x = 4,909,206.93
  5. Step 5: Solve for x
    x = 4,909,206.93/1,993.91
  6. Step 6: Final answer
    x = 2,462.11

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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.