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Finding the Fourth Proportional to 2,701.70, 4,052.91 and 946.44

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Solution

The fourth proportional to 2,701.70, 4,052.91 and 946.44 is: 1,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.70 : 4,052.91 = 946.44 : x
  2. Step 2: Convert to fraction form
    2,701.70/4,052.91 = 946.44/x
  3. Step 3: Cross multiply
    2,701.70x = 4,052.91 × 946.44
  4. Step 4: Simplify right side
    2,701.70x = 3,835,836.14
  5. Step 5: Solve for x
    x = 3,835,836.14/2,701.70
  6. Step 6: Final answer
    x = 1,419.79

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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.