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Finding the Fourth Proportional to 2,108.93, 3,165.30 and 1,069.65

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Solution

The fourth proportional to 2,108.93, 3,165.30 and 1,069.65 is: 1,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.93 : 3,165.30 = 1,069.65 : x
  2. Step 2: Convert to fraction form
    2,108.93/3,165.30 = 1,069.65/x
  3. Step 3: Cross multiply
    2,108.93x = 3,165.30 × 1,069.65
  4. Step 4: Simplify right side
    2,108.93x = 3,385,763.15
  5. Step 5: Solve for x
    x = 3,385,763.15/2,108.93
  6. Step 6: Final answer
    x = 1,605.45

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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.