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Finding the Fourth Proportional to 1,991.77, 2,743.06 and 1,948.72

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Solution

The fourth proportional to 1,991.77, 2,743.06 and 1,948.72 is: 2,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.77 : 2,743.06 = 1,948.72 : x
  2. Step 2: Convert to fraction form
    1,991.77/2,743.06 = 1,948.72/x
  3. Step 3: Cross multiply
    1,991.77x = 2,743.06 × 1,948.72
  4. Step 4: Simplify right side
    1,991.77x = 5,345,455.88
  5. Step 5: Solve for x
    x = 5,345,455.88/1,991.77
  6. Step 6: Final answer
    x = 2,683.77

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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.