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Finding the Fourth Proportional to 2,287.44, 3,152.52 and 2,183.76

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Solution

The fourth proportional to 2,287.44, 3,152.52 and 2,183.76 is: 3,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.44 : 3,152.52 = 2,183.76 : x
  2. Step 2: Convert to fraction form
    2,287.44/3,152.52 = 2,183.76/x
  3. Step 3: Cross multiply
    2,287.44x = 3,152.52 × 2,183.76
  4. Step 4: Simplify right side
    2,287.44x = 6,884,347.08
  5. Step 5: Solve for x
    x = 6,884,347.08/2,287.44
  6. Step 6: Final answer
    x = 3,009.63

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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.