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Finding the Fourth Proportional to 1,865.00, 2,571.91 and 1,202.06

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Solution

The fourth proportional to 1,865.00, 2,571.91 and 1,202.06 is: 1,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.00 : 2,571.91 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    1,865.00/2,571.91 = 1,202.06/x
  3. Step 3: Cross multiply
    1,865.00x = 2,571.91 × 1,202.06
  4. Step 4: Simplify right side
    1,865.00x = 3,091,593.56
  5. Step 5: Solve for x
    x = 3,091,593.56/1,865.00
  6. Step 6: Final answer
    x = 1,657.69

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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.