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Finding the Fourth Proportional to 2,395.10, 3,593.87 and 1,409.33

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Solution

The fourth proportional to 2,395.10, 3,593.87 and 1,409.33 is: 2,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.10 : 3,593.87 = 1,409.33 : x
  2. Step 2: Convert to fraction form
    2,395.10/3,593.87 = 1,409.33/x
  3. Step 3: Cross multiply
    2,395.10x = 3,593.87 × 1,409.33
  4. Step 4: Simplify right side
    2,395.10x = 5,064,948.81
  5. Step 5: Solve for x
    x = 5,064,948.81/2,395.10
  6. Step 6: Final answer
    x = 2,114.71

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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.