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Finding the Fourth Proportional to 2,144.63, 2,952.45 and 1,923.19

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Solution

The fourth proportional to 2,144.63, 2,952.45 and 1,923.19 is: 2,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.63 : 2,952.45 = 1,923.19 : x
  2. Step 2: Convert to fraction form
    2,144.63/2,952.45 = 1,923.19/x
  3. Step 3: Cross multiply
    2,144.63x = 2,952.45 × 1,923.19
  4. Step 4: Simplify right side
    2,144.63x = 5,678,131.54
  5. Step 5: Solve for x
    x = 5,678,131.54/2,144.63
  6. Step 6: Final answer
    x = 2,647.61

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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.