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Finding the Fourth Proportional to 2,052.14, 3,078.18 and 513.14

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Solution

The fourth proportional to 2,052.14, 3,078.18 and 513.14 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.14 : 3,078.18 = 513.14 : x
  2. Step 2: Convert to fraction form
    2,052.14/3,078.18 = 513.14/x
  3. Step 3: Cross multiply
    2,052.14x = 3,078.18 × 513.14
  4. Step 4: Simplify right side
    2,052.14x = 1,579,537.29
  5. Step 5: Solve for x
    x = 1,579,537.29/2,052.14
  6. Step 6: Final answer
    x = 769.70

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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.