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Finding the Fourth Proportional to 1,233.44, 1,839.46 and 1,052

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Solution

The fourth proportional to 1,233.44, 1,839.46 and 1,052 is: 1,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.44 : 1,839.46 = 1,052 : x
  2. Step 2: Convert to fraction form
    1,233.44/1,839.46 = 1,052/x
  3. Step 3: Cross multiply
    1,233.44x = 1,839.46 × 1,052
  4. Step 4: Simplify right side
    1,233.44x = 1,935,111.92
  5. Step 5: Solve for x
    x = 1,935,111.92/1,233.44
  6. Step 6: Final answer
    x = 1,568.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.