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Finding the Fourth Proportional to 2,395.65, 3,593.49 and 835.65

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Solution

The fourth proportional to 2,395.65, 3,593.49 and 835.65 is: 1,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.65 : 3,593.49 = 835.65 : x
  2. Step 2: Convert to fraction form
    2,395.65/3,593.49 = 835.65/x
  3. Step 3: Cross multiply
    2,395.65x = 3,593.49 × 835.65
  4. Step 4: Simplify right side
    2,395.65x = 3,002,886.44
  5. Step 5: Solve for x
    x = 3,002,886.44/2,395.65
  6. Step 6: Final answer
    x = 1,253.48

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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.