Home / 2,102.08-3,165.64-1,831.44

Finding the Fourth Proportional to 2,102.08, 3,165.64 and 1,831.44

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Solution

The fourth proportional to 2,102.08, 3,165.64 and 1,831.44 is: 2,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 3,165.64 = 1,831.44 : x
  2. Step 2: Convert to fraction form
    2,102.08/3,165.64 = 1,831.44/x
  3. Step 3: Cross multiply
    2,102.08x = 3,165.64 × 1,831.44
  4. Step 4: Simplify right side
    2,102.08x = 5,797,679.72
  5. Step 5: Solve for x
    x = 5,797,679.72/2,102.08
  6. Step 6: Final answer
    x = 2,758.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.