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Finding the Fourth Proportional to 2,363.62, 3,262.98 and 1,831.33

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Solution

The fourth proportional to 2,363.62, 3,262.98 and 1,831.33 is: 2,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.62 : 3,262.98 = 1,831.33 : x
  2. Step 2: Convert to fraction form
    2,363.62/3,262.98 = 1,831.33/x
  3. Step 3: Cross multiply
    2,363.62x = 3,262.98 × 1,831.33
  4. Step 4: Simplify right side
    2,363.62x = 5,975,593.16
  5. Step 5: Solve for x
    x = 5,975,593.16/2,363.62
  6. Step 6: Final answer
    x = 2,528.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.