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Finding the Fourth Proportional to 1,906.81, 2,860.76 and 608.38

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Solution

The fourth proportional to 1,906.81, 2,860.76 and 608.38 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.81 : 2,860.76 = 608.38 : x
  2. Step 2: Convert to fraction form
    1,906.81/2,860.76 = 608.38/x
  3. Step 3: Cross multiply
    1,906.81x = 2,860.76 × 608.38
  4. Step 4: Simplify right side
    1,906.81x = 1,740,429.17
  5. Step 5: Solve for x
    x = 1,740,429.17/1,906.81
  6. Step 6: Final answer
    x = 912.74

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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.