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Finding the Fourth Proportional to 2,351.94, 3,529.07 and 1,663.04

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Solution

The fourth proportional to 2,351.94, 3,529.07 and 1,663.04 is: 2,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.94 : 3,529.07 = 1,663.04 : x
  2. Step 2: Convert to fraction form
    2,351.94/3,529.07 = 1,663.04/x
  3. Step 3: Cross multiply
    2,351.94x = 3,529.07 × 1,663.04
  4. Step 4: Simplify right side
    2,351.94x = 5,868,958.61
  5. Step 5: Solve for x
    x = 5,868,958.61/2,351.94
  6. Step 6: Final answer
    x = 2,495.37

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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.