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Finding the Fourth Proportional to 1,424.70, 2,133.41 and 1,261.89

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Solution

The fourth proportional to 1,424.70, 2,133.41 and 1,261.89 is: 1,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.70 : 2,133.41 = 1,261.89 : x
  2. Step 2: Convert to fraction form
    1,424.70/2,133.41 = 1,261.89/x
  3. Step 3: Cross multiply
    1,424.70x = 2,133.41 × 1,261.89
  4. Step 4: Simplify right side
    1,424.70x = 2,692,122.44
  5. Step 5: Solve for x
    x = 2,692,122.44/1,424.70
  6. Step 6: Final answer
    x = 1,889.61

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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.