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Finding the Fourth Proportional to 2,369.58, 3,554.37 and 638.34

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Solution

The fourth proportional to 2,369.58, 3,554.37 and 638.34 is: 957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.58 : 3,554.37 = 638.34 : x
  2. Step 2: Convert to fraction form
    2,369.58/3,554.37 = 638.34/x
  3. Step 3: Cross multiply
    2,369.58x = 3,554.37 × 638.34
  4. Step 4: Simplify right side
    2,369.58x = 2,268,896.55
  5. Step 5: Solve for x
    x = 2,268,896.55/2,369.58
  6. Step 6: Final answer
    x = 957.51

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Why These Related Problems?

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