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Finding the Fourth Proportional to 1,619.64, 2,427.42 and 694.11

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Solution

The fourth proportional to 1,619.64, 2,427.42 and 694.11 is: 1,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.64 : 2,427.42 = 694.11 : x
  2. Step 2: Convert to fraction form
    1,619.64/2,427.42 = 694.11/x
  3. Step 3: Cross multiply
    1,619.64x = 2,427.42 × 694.11
  4. Step 4: Simplify right side
    1,619.64x = 1,684,896.50
  5. Step 5: Solve for x
    x = 1,684,896.50/1,619.64
  6. Step 6: Final answer
    x = 1,040.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.