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Finding the Fourth Proportional to 2,686.60, 3,706.82 and 1,692.04

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Solution

The fourth proportional to 2,686.60, 3,706.82 and 1,692.04 is: 2,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.60 : 3,706.82 = 1,692.04 : x
  2. Step 2: Convert to fraction form
    2,686.60/3,706.82 = 1,692.04/x
  3. Step 3: Cross multiply
    2,686.60x = 3,706.82 × 1,692.04
  4. Step 4: Simplify right side
    2,686.60x = 6,272,087.71
  5. Step 5: Solve for x
    x = 6,272,087.71/2,686.60
  6. Step 6: Final answer
    x = 2,334.58

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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.