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Finding the Fourth Proportional to 3,102.25, 4,279.89 and 1,775.24

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Solution

The fourth proportional to 3,102.25, 4,279.89 and 1,775.24 is: 2,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.25 : 4,279.89 = 1,775.24 : x
  2. Step 2: Convert to fraction form
    3,102.25/4,279.89 = 1,775.24/x
  3. Step 3: Cross multiply
    3,102.25x = 4,279.89 × 1,775.24
  4. Step 4: Simplify right side
    3,102.25x = 7,597,831.92
  5. Step 5: Solve for x
    x = 7,597,831.92/3,102.25
  6. Step 6: Final answer
    x = 2,449.14

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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.