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Finding the Fourth Proportional to 2,666.50, 3,673.94 and 1,991.50

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Solution

The fourth proportional to 2,666.50, 3,673.94 and 1,991.50 is: 2,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.50 : 3,673.94 = 1,991.50 : x
  2. Step 2: Convert to fraction form
    2,666.50/3,673.94 = 1,991.50/x
  3. Step 3: Cross multiply
    2,666.50x = 3,673.94 × 1,991.50
  4. Step 4: Simplify right side
    2,666.50x = 7,316,651.51
  5. Step 5: Solve for x
    x = 7,316,651.51/2,666.50
  6. Step 6: Final answer
    x = 2,743.92

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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.