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Finding the Fourth Proportional to 2,485.86, 3,424.56 and 1,738.42

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Solution

The fourth proportional to 2,485.86, 3,424.56 and 1,738.42 is: 2,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.86 : 3,424.56 = 1,738.42 : x
  2. Step 2: Convert to fraction form
    2,485.86/3,424.56 = 1,738.42/x
  3. Step 3: Cross multiply
    2,485.86x = 3,424.56 × 1,738.42
  4. Step 4: Simplify right side
    2,485.86x = 5,953,323.60
  5. Step 5: Solve for x
    x = 5,953,323.60/2,485.86
  6. Step 6: Final answer
    x = 2,394.87

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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.