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Finding the Fourth Proportional to 2,385.64, 3,577.20 and 1,069.75

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Solution

The fourth proportional to 2,385.64, 3,577.20 and 1,069.75 is: 1,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.64 : 3,577.20 = 1,069.75 : x
  2. Step 2: Convert to fraction form
    2,385.64/3,577.20 = 1,069.75/x
  3. Step 3: Cross multiply
    2,385.64x = 3,577.20 × 1,069.75
  4. Step 4: Simplify right side
    2,385.64x = 3,826,709.70
  5. Step 5: Solve for x
    x = 3,826,709.70/2,385.64
  6. Step 6: Final answer
    x = 1,604.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.