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Finding the Fourth Proportional to 2,425.78, 3,638.91 and 964.61

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Solution

The fourth proportional to 2,425.78, 3,638.91 and 964.61 is: 1,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.78 : 3,638.91 = 964.61 : x
  2. Step 2: Convert to fraction form
    2,425.78/3,638.91 = 964.61/x
  3. Step 3: Cross multiply
    2,425.78x = 3,638.91 × 964.61
  4. Step 4: Simplify right side
    2,425.78x = 3,510,128.98
  5. Step 5: Solve for x
    x = 3,510,128.98/2,425.78
  6. Step 6: Final answer
    x = 1,447.01

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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.