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Finding the Fourth Proportional to 2,675.25, 3,692.97 and 1,746.45

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Solution

The fourth proportional to 2,675.25, 3,692.97 and 1,746.45 is: 2,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.25 : 3,692.97 = 1,746.45 : x
  2. Step 2: Convert to fraction form
    2,675.25/3,692.97 = 1,746.45/x
  3. Step 3: Cross multiply
    2,675.25x = 3,692.97 × 1,746.45
  4. Step 4: Simplify right side
    2,675.25x = 6,449,587.46
  5. Step 5: Solve for x
    x = 6,449,587.46/2,675.25
  6. Step 6: Final answer
    x = 2,410.84

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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.