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Finding the Fourth Proportional to 2,322.96, 3,204.90 and 1,327.53

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Solution

The fourth proportional to 2,322.96, 3,204.90 and 1,327.53 is: 1,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.96 : 3,204.90 = 1,327.53 : x
  2. Step 2: Convert to fraction form
    2,322.96/3,204.90 = 1,327.53/x
  3. Step 3: Cross multiply
    2,322.96x = 3,204.90 × 1,327.53
  4. Step 4: Simplify right side
    2,322.96x = 4,254,595.92
  5. Step 5: Solve for x
    x = 4,254,595.92/2,322.96
  6. Step 6: Final answer
    x = 1,831.54

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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.