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Finding the Fourth Proportional to 2,072.61, 3,107.85 and 611.58

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Solution

The fourth proportional to 2,072.61, 3,107.85 and 611.58 is: 917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.61 : 3,107.85 = 611.58 : x
  2. Step 2: Convert to fraction form
    2,072.61/3,107.85 = 611.58/x
  3. Step 3: Cross multiply
    2,072.61x = 3,107.85 × 611.58
  4. Step 4: Simplify right side
    2,072.61x = 1,900,698.90
  5. Step 5: Solve for x
    x = 1,900,698.90/2,072.61
  6. Step 6: Final answer
    x = 917.06

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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.