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Finding the Fourth Proportional to 2,431.54, 3,646.41 and 1,912.55

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Solution

The fourth proportional to 2,431.54, 3,646.41 and 1,912.55 is: 2,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.54 : 3,646.41 = 1,912.55 : x
  2. Step 2: Convert to fraction form
    2,431.54/3,646.41 = 1,912.55/x
  3. Step 3: Cross multiply
    2,431.54x = 3,646.41 × 1,912.55
  4. Step 4: Simplify right side
    2,431.54x = 6,973,941.45
  5. Step 5: Solve for x
    x = 6,973,941.45/2,431.54
  6. Step 6: Final answer
    x = 2,868.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.