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Finding the Fourth Proportional to 2,293.05, 3,437.43 and 831.81

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Solution

The fourth proportional to 2,293.05, 3,437.43 and 831.81 is: 1,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.05 : 3,437.43 = 831.81 : x
  2. Step 2: Convert to fraction form
    2,293.05/3,437.43 = 831.81/x
  3. Step 3: Cross multiply
    2,293.05x = 3,437.43 × 831.81
  4. Step 4: Simplify right side
    2,293.05x = 2,859,288.65
  5. Step 5: Solve for x
    x = 2,859,288.65/2,293.05
  6. Step 6: Final answer
    x = 1,246.94

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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.