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Finding the Fourth Proportional to 1,866.35, 2,571.85 and 1,333.73

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Solution

The fourth proportional to 1,866.35, 2,571.85 and 1,333.73 is: 1,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.35 : 2,571.85 = 1,333.73 : x
  2. Step 2: Convert to fraction form
    1,866.35/2,571.85 = 1,333.73/x
  3. Step 3: Cross multiply
    1,866.35x = 2,571.85 × 1,333.73
  4. Step 4: Simplify right side
    1,866.35x = 3,430,153.50
  5. Step 5: Solve for x
    x = 3,430,153.50/1,866.35
  6. Step 6: Final answer
    x = 1,837.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.