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Finding the Fourth Proportional to 2,507.44, 3,758.41 and 1,889.18

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Solution

The fourth proportional to 2,507.44, 3,758.41 and 1,889.18 is: 2,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.44 : 3,758.41 = 1,889.18 : x
  2. Step 2: Convert to fraction form
    2,507.44/3,758.41 = 1,889.18/x
  3. Step 3: Cross multiply
    2,507.44x = 3,758.41 × 1,889.18
  4. Step 4: Simplify right side
    2,507.44x = 7,100,313.00
  5. Step 5: Solve for x
    x = 7,100,313.00/2,507.44
  6. Step 6: Final answer
    x = 2,831.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.