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Finding the Fourth Proportional to 2,321.68, 3,477.02 and 1,831.46

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Solution

The fourth proportional to 2,321.68, 3,477.02 and 1,831.46 is: 2,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.68 : 3,477.02 = 1,831.46 : x
  2. Step 2: Convert to fraction form
    2,321.68/3,477.02 = 1,831.46/x
  3. Step 3: Cross multiply
    2,321.68x = 3,477.02 × 1,831.46
  4. Step 4: Simplify right side
    2,321.68x = 6,368,023.05
  5. Step 5: Solve for x
    x = 6,368,023.05/2,321.68
  6. Step 6: Final answer
    x = 2,742.85

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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.