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Finding the Fourth Proportional to 1,424.16, 2,137.61 and 694.25

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Solution

The fourth proportional to 1,424.16, 2,137.61 and 694.25 is: 1,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.16 : 2,137.61 = 694.25 : x
  2. Step 2: Convert to fraction form
    1,424.16/2,137.61 = 694.25/x
  3. Step 3: Cross multiply
    1,424.16x = 2,137.61 × 694.25
  4. Step 4: Simplify right side
    1,424.16x = 1,484,040.82
  5. Step 5: Solve for x
    x = 1,484,040.82/1,424.16
  6. Step 6: Final answer
    x = 1,042.04

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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.