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Finding the Fourth Proportional to 2,384.65, 3,577.72 and 1,069.51

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Solution

The fourth proportional to 2,384.65, 3,577.72 and 1,069.51 is: 1,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.65 : 3,577.72 = 1,069.51 : x
  2. Step 2: Convert to fraction form
    2,384.65/3,577.72 = 1,069.51/x
  3. Step 3: Cross multiply
    2,384.65x = 3,577.72 × 1,069.51
  4. Step 4: Simplify right side
    2,384.65x = 3,826,389.43
  5. Step 5: Solve for x
    x = 3,826,389.43/2,384.65
  6. Step 6: Final answer
    x = 1,604.59

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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.