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Finding the Fourth Proportional to 2,692.94, 3,718.41 and 1,749.20

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Solution

The fourth proportional to 2,692.94, 3,718.41 and 1,749.20 is: 2,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.94 : 3,718.41 = 1,749.20 : x
  2. Step 2: Convert to fraction form
    2,692.94/3,718.41 = 1,749.20/x
  3. Step 3: Cross multiply
    2,692.94x = 3,718.41 × 1,749.20
  4. Step 4: Simplify right side
    2,692.94x = 6,504,242.77
  5. Step 5: Solve for x
    x = 6,504,242.77/2,692.94
  6. Step 6: Final answer
    x = 2,415.29

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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.