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Finding the Fourth Proportional to 2,692.71, 4,039.13 and 744.93

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Solution

The fourth proportional to 2,692.71, 4,039.13 and 744.93 is: 1,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.71 : 4,039.13 = 744.93 : x
  2. Step 2: Convert to fraction form
    2,692.71/4,039.13 = 744.93/x
  3. Step 3: Cross multiply
    2,692.71x = 4,039.13 × 744.93
  4. Step 4: Simplify right side
    2,692.71x = 3,008,870.97
  5. Step 5: Solve for x
    x = 3,008,870.97/2,692.71
  6. Step 6: Final answer
    x = 1,117.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.