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Finding the Fourth Proportional to 1,434.36, 2,151.52 and 694.28

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Solution

The fourth proportional to 1,434.36, 2,151.52 and 694.28 is: 1,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.36 : 2,151.52 = 694.28 : x
  2. Step 2: Convert to fraction form
    1,434.36/2,151.52 = 694.28/x
  3. Step 3: Cross multiply
    1,434.36x = 2,151.52 × 694.28
  4. Step 4: Simplify right side
    1,434.36x = 1,493,757.31
  5. Step 5: Solve for x
    x = 1,493,757.31/1,434.36
  6. Step 6: Final answer
    x = 1,041.41

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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.