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Finding the Fourth Proportional to 2,322.50, 3,204.34 and 1,327.72

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Solution

The fourth proportional to 2,322.50, 3,204.34 and 1,327.72 is: 1,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.50 : 3,204.34 = 1,327.72 : x
  2. Step 2: Convert to fraction form
    2,322.50/3,204.34 = 1,327.72/x
  3. Step 3: Cross multiply
    2,322.50x = 3,204.34 × 1,327.72
  4. Step 4: Simplify right side
    2,322.50x = 4,254,466.30
  5. Step 5: Solve for x
    x = 4,254,466.30/2,322.50
  6. Step 6: Final answer
    x = 1,831.85

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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.