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Finding the Fourth Proportional to 3,090, 4,264.30 and 1,692.84

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Solution

The fourth proportional to 3,090, 4,264.30 and 1,692.84 is: 2,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090 : 4,264.30 = 1,692.84 : x
  2. Step 2: Convert to fraction form
    3,090/4,264.30 = 1,692.84/x
  3. Step 3: Cross multiply
    3,090x = 4,264.30 × 1,692.84
  4. Step 4: Simplify right side
    3,090x = 7,218,777.61
  5. Step 5: Solve for x
    x = 7,218,777.61/3,090
  6. Step 6: Final answer
    x = 2,336.17

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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.