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Finding the Fourth Proportional to 2,373.46, 3,554.12 and 1,644.46

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Solution

The fourth proportional to 2,373.46, 3,554.12 and 1,644.46 is: 2,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.46 : 3,554.12 = 1,644.46 : x
  2. Step 2: Convert to fraction form
    2,373.46/3,554.12 = 1,644.46/x
  3. Step 3: Cross multiply
    2,373.46x = 3,554.12 × 1,644.46
  4. Step 4: Simplify right side
    2,373.46x = 5,844,608.18
  5. Step 5: Solve for x
    x = 5,844,608.18/2,373.46
  6. Step 6: Final answer
    x = 2,462.48

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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.