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Finding the Fourth Proportional to 2,133.70, 2,943.30 and 1,365.73

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Solution

The fourth proportional to 2,133.70, 2,943.30 and 1,365.73 is: 1,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.70 : 2,943.30 = 1,365.73 : x
  2. Step 2: Convert to fraction form
    2,133.70/2,943.30 = 1,365.73/x
  3. Step 3: Cross multiply
    2,133.70x = 2,943.30 × 1,365.73
  4. Step 4: Simplify right side
    2,133.70x = 4,019,738.39
  5. Step 5: Solve for x
    x = 4,019,738.39/2,133.70
  6. Step 6: Final answer
    x = 1,883.93

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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.