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Finding the Fourth Proportional to 2,095.65, 3,144.07 and 1,709.30

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Solution

The fourth proportional to 2,095.65, 3,144.07 and 1,709.30 is: 2,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.65 : 3,144.07 = 1,709.30 : x
  2. Step 2: Convert to fraction form
    2,095.65/3,144.07 = 1,709.30/x
  3. Step 3: Cross multiply
    2,095.65x = 3,144.07 × 1,709.30
  4. Step 4: Simplify right side
    2,095.65x = 5,374,162.44
  5. Step 5: Solve for x
    x = 5,374,162.44/2,095.65
  6. Step 6: Final answer
    x = 2,564.44

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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.