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Finding the Fourth Proportional to 2,363.40, 3,262.65 and 1,831.08

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Solution

The fourth proportional to 2,363.40, 3,262.65 and 1,831.08 is: 2,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.40 : 3,262.65 = 1,831.08 : x
  2. Step 2: Convert to fraction form
    2,363.40/3,262.65 = 1,831.08/x
  3. Step 3: Cross multiply
    2,363.40x = 3,262.65 × 1,831.08
  4. Step 4: Simplify right side
    2,363.40x = 5,974,173.16
  5. Step 5: Solve for x
    x = 5,974,173.16/2,363.40
  6. Step 6: Final answer
    x = 2,527.79

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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.