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Finding the Fourth Proportional to 2,923.54, 4,034 and 1,744.18

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Solution

The fourth proportional to 2,923.54, 4,034 and 1,744.18 is: 2,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.54 : 4,034 = 1,744.18 : x
  2. Step 2: Convert to fraction form
    2,923.54/4,034 = 1,744.18/x
  3. Step 3: Cross multiply
    2,923.54x = 4,034 × 1,744.18
  4. Step 4: Simplify right side
    2,923.54x = 7,036,022.12
  5. Step 5: Solve for x
    x = 7,036,022.12/2,923.54
  6. Step 6: Final answer
    x = 2,406.68

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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.