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Finding the Fourth Proportional to 3,220.11, 4,831.70 and 1,141.70

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Solution

The fourth proportional to 3,220.11, 4,831.70 and 1,141.70 is: 1,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.11 : 4,831.70 = 1,141.70 : x
  2. Step 2: Convert to fraction form
    3,220.11/4,831.70 = 1,141.70/x
  3. Step 3: Cross multiply
    3,220.11x = 4,831.70 × 1,141.70
  4. Step 4: Simplify right side
    3,220.11x = 5,516,322.02
  5. Step 5: Solve for x
    x = 5,516,322.02/3,220.11
  6. Step 6: Final answer
    x = 1,713.08

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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.