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Finding the Fourth Proportional to 2,182.42, 3,014.76 and 1,739.74

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Solution

The fourth proportional to 2,182.42, 3,014.76 and 1,739.74 is: 2,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.42 : 3,014.76 = 1,739.74 : x
  2. Step 2: Convert to fraction form
    2,182.42/3,014.76 = 1,739.74/x
  3. Step 3: Cross multiply
    2,182.42x = 3,014.76 × 1,739.74
  4. Step 4: Simplify right side
    2,182.42x = 5,244,898.56
  5. Step 5: Solve for x
    x = 5,244,898.56/2,182.42
  6. Step 6: Final answer
    x = 2,403.25

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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.