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Finding the Fourth Proportional to 1,635.54, 2,252.10 and 1,409.55

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Solution

The fourth proportional to 1,635.54, 2,252.10 and 1,409.55 is: 1,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.54 : 2,252.10 = 1,409.55 : x
  2. Step 2: Convert to fraction form
    1,635.54/2,252.10 = 1,409.55/x
  3. Step 3: Cross multiply
    1,635.54x = 2,252.10 × 1,409.55
  4. Step 4: Simplify right side
    1,635.54x = 3,174,447.56
  5. Step 5: Solve for x
    x = 3,174,447.56/1,635.54
  6. Step 6: Final answer
    x = 1,940.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.