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Finding the Fourth Proportional to 1,974.64, 2,723.08 and 1,831.48

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Solution

The fourth proportional to 1,974.64, 2,723.08 and 1,831.48 is: 2,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.64 : 2,723.08 = 1,831.48 : x
  2. Step 2: Convert to fraction form
    1,974.64/2,723.08 = 1,831.48/x
  3. Step 3: Cross multiply
    1,974.64x = 2,723.08 × 1,831.48
  4. Step 4: Simplify right side
    1,974.64x = 4,987,266.56
  5. Step 5: Solve for x
    x = 4,987,266.56/1,974.64
  6. Step 6: Final answer
    x = 2,525.66

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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.