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Finding the Fourth Proportional to 2,468.21, 3,703.35 and 908.38

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Solution

The fourth proportional to 2,468.21, 3,703.35 and 908.38 is: 1,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.21 : 3,703.35 = 908.38 : x
  2. Step 2: Convert to fraction form
    2,468.21/3,703.35 = 908.38/x
  3. Step 3: Cross multiply
    2,468.21x = 3,703.35 × 908.38
  4. Step 4: Simplify right side
    2,468.21x = 3,364,030.56
  5. Step 5: Solve for x
    x = 3,364,030.56/2,468.21
  6. Step 6: Final answer
    x = 1,362.94

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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.