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Finding the Fourth Proportional to 2,392.30, 3,589.47 and 831.45

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Solution

The fourth proportional to 2,392.30, 3,589.47 and 831.45 is: 1,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.30 : 3,589.47 = 831.45 : x
  2. Step 2: Convert to fraction form
    2,392.30/3,589.47 = 831.45/x
  3. Step 3: Cross multiply
    2,392.30x = 3,589.47 × 831.45
  4. Step 4: Simplify right side
    2,392.30x = 2,984,465.10
  5. Step 5: Solve for x
    x = 2,984,465.10/2,392.30
  6. Step 6: Final answer
    x = 1,247.53

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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.