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Finding the Fourth Proportional to 1,991.71, 2,740.58 and 1,675.81

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Solution

The fourth proportional to 1,991.71, 2,740.58 and 1,675.81 is: 2,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.71 : 2,740.58 = 1,675.81 : x
  2. Step 2: Convert to fraction form
    1,991.71/2,740.58 = 1,675.81/x
  3. Step 3: Cross multiply
    1,991.71x = 2,740.58 × 1,675.81
  4. Step 4: Simplify right side
    1,991.71x = 4,592,691.37
  5. Step 5: Solve for x
    x = 4,592,691.37/1,991.71
  6. Step 6: Final answer
    x = 2,305.90

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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.