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Finding the Fourth Proportional to 2,293.72, 3,440.59 and 1,967.06

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Solution

The fourth proportional to 2,293.72, 3,440.59 and 1,967.06 is: 2,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.72 : 3,440.59 = 1,967.06 : x
  2. Step 2: Convert to fraction form
    2,293.72/3,440.59 = 1,967.06/x
  3. Step 3: Cross multiply
    2,293.72x = 3,440.59 × 1,967.06
  4. Step 4: Simplify right side
    2,293.72x = 6,767,850.65
  5. Step 5: Solve for x
    x = 6,767,850.65/2,293.72
  6. Step 6: Final answer
    x = 2,950.60

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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.