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Finding the Fourth Proportional to 1,906.55, 2,860.10 and 866.52

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Solution

The fourth proportional to 1,906.55, 2,860.10 and 866.52 is: 1,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.55 : 2,860.10 = 866.52 : x
  2. Step 2: Convert to fraction form
    1,906.55/2,860.10 = 866.52/x
  3. Step 3: Cross multiply
    1,906.55x = 2,860.10 × 866.52
  4. Step 4: Simplify right side
    1,906.55x = 2,478,329.52
  5. Step 5: Solve for x
    x = 2,478,329.52/1,906.55
  6. Step 6: Final answer
    x = 1,299.91

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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.