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Finding the Fourth Proportional to 3,089.90, 4,264.06 and 1,692.64

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Solution

The fourth proportional to 3,089.90, 4,264.06 and 1,692.64 is: 2,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.90 : 4,264.06 = 1,692.64 : x
  2. Step 2: Convert to fraction form
    3,089.90/4,264.06 = 1,692.64/x
  3. Step 3: Cross multiply
    3,089.90x = 4,264.06 × 1,692.64
  4. Step 4: Simplify right side
    3,089.90x = 7,217,518.52
  5. Step 5: Solve for x
    x = 7,217,518.52/3,089.90
  6. Step 6: Final answer
    x = 2,335.84

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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.