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Finding the Fourth Proportional to 2,052.04, 3,078.06 and 513.04

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Solution

The fourth proportional to 2,052.04, 3,078.06 and 513.04 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.04 : 3,078.06 = 513.04 : x
  2. Step 2: Convert to fraction form
    2,052.04/3,078.06 = 513.04/x
  3. Step 3: Cross multiply
    2,052.04x = 3,078.06 × 513.04
  4. Step 4: Simplify right side
    2,052.04x = 1,579,167.90
  5. Step 5: Solve for x
    x = 1,579,167.90/2,052.04
  6. Step 6: Final answer
    x = 769.56

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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.