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Finding the Fourth Proportional to 1,906.59, 2,860.25 and 607.71

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Solution

The fourth proportional to 1,906.59, 2,860.25 and 607.71 is: 911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.59 : 2,860.25 = 607.71 : x
  2. Step 2: Convert to fraction form
    1,906.59/2,860.25 = 607.71/x
  3. Step 3: Cross multiply
    1,906.59x = 2,860.25 × 607.71
  4. Step 4: Simplify right side
    1,906.59x = 1,738,199.49
  5. Step 5: Solve for x
    x = 1,738,199.49/1,906.59
  6. Step 6: Final answer
    x = 911.68

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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.