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Finding the Fourth Proportional to 1,831.64, 2,747.46 and 1,464.71

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Solution

The fourth proportional to 1,831.64, 2,747.46 and 1,464.71 is: 2,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.64 : 2,747.46 = 1,464.71 : x
  2. Step 2: Convert to fraction form
    1,831.64/2,747.46 = 1,464.71/x
  3. Step 3: Cross multiply
    1,831.64x = 2,747.46 × 1,464.71
  4. Step 4: Simplify right side
    1,831.64x = 4,024,232.14
  5. Step 5: Solve for x
    x = 4,024,232.14/1,831.64
  6. Step 6: Final answer
    x = 2,197.07

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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.