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Finding the Fourth Proportional to 2,133.46, 2,944.14 and 1,189.23

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Solution

The fourth proportional to 2,133.46, 2,944.14 and 1,189.23 is: 1,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.46 : 2,944.14 = 1,189.23 : x
  2. Step 2: Convert to fraction form
    2,133.46/2,944.14 = 1,189.23/x
  3. Step 3: Cross multiply
    2,133.46x = 2,944.14 × 1,189.23
  4. Step 4: Simplify right side
    2,133.46x = 3,501,259.61
  5. Step 5: Solve for x
    x = 3,501,259.61/2,133.46
  6. Step 6: Final answer
    x = 1,641.12

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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.