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Finding the Fourth Proportional to 2,362.81, 3,544.37 and 719.48

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Solution

The fourth proportional to 2,362.81, 3,544.37 and 719.48 is: 1,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.81 : 3,544.37 = 719.48 : x
  2. Step 2: Convert to fraction form
    2,362.81/3,544.37 = 719.48/x
  3. Step 3: Cross multiply
    2,362.81x = 3,544.37 × 719.48
  4. Step 4: Simplify right side
    2,362.81x = 2,550,103.33
  5. Step 5: Solve for x
    x = 2,550,103.33/2,362.81
  6. Step 6: Final answer
    x = 1,079.27

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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.