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Finding the Fourth Proportional to 2,396.14, 3,592.41 and 1,653.63

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Solution

The fourth proportional to 2,396.14, 3,592.41 and 1,653.63 is: 2,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.14 : 3,592.41 = 1,653.63 : x
  2. Step 2: Convert to fraction form
    2,396.14/3,592.41 = 1,653.63/x
  3. Step 3: Cross multiply
    2,396.14x = 3,592.41 × 1,653.63
  4. Step 4: Simplify right side
    2,396.14x = 5,940,516.95
  5. Step 5: Solve for x
    x = 5,940,516.95/2,396.14
  6. Step 6: Final answer
    x = 2,479.20

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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.