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Finding the Fourth Proportional to 2,402.52, 3,604.09 and 941.48

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Solution

The fourth proportional to 2,402.52, 3,604.09 and 941.48 is: 1,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.52 : 3,604.09 = 941.48 : x
  2. Step 2: Convert to fraction form
    2,402.52/3,604.09 = 941.48/x
  3. Step 3: Cross multiply
    2,402.52x = 3,604.09 × 941.48
  4. Step 4: Simplify right side
    2,402.52x = 3,393,178.65
  5. Step 5: Solve for x
    x = 3,393,178.65/2,402.52
  6. Step 6: Final answer
    x = 1,412.34

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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.