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Finding the Fourth Proportional to 2,369.79, 3,554.68 and 638.41

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Solution

The fourth proportional to 2,369.79, 3,554.68 and 638.41 is: 957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.79 : 3,554.68 = 638.41 : x
  2. Step 2: Convert to fraction form
    2,369.79/3,554.68 = 638.41/x
  3. Step 3: Cross multiply
    2,369.79x = 3,554.68 × 638.41
  4. Step 4: Simplify right side
    2,369.79x = 2,269,340.07
  5. Step 5: Solve for x
    x = 2,269,340.07/2,369.79
  6. Step 6: Final answer
    x = 957.61

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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.