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Finding the Fourth Proportional to 2,321.76, 3,204.32 and 1,438.46

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Solution

The fourth proportional to 2,321.76, 3,204.32 and 1,438.46 is: 1,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.76 : 3,204.32 = 1,438.46 : x
  2. Step 2: Convert to fraction form
    2,321.76/3,204.32 = 1,438.46/x
  3. Step 3: Cross multiply
    2,321.76x = 3,204.32 × 1,438.46
  4. Step 4: Simplify right side
    2,321.76x = 4,609,262.93
  5. Step 5: Solve for x
    x = 4,609,262.93/2,321.76
  6. Step 6: Final answer
    x = 1,985.25

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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.