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Finding the Fourth Proportional to 1,902.00, 2,623.37 and 1,271.42

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Solution

The fourth proportional to 1,902.00, 2,623.37 and 1,271.42 is: 1,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.00 : 2,623.37 = 1,271.42 : x
  2. Step 2: Convert to fraction form
    1,902.00/2,623.37 = 1,271.42/x
  3. Step 3: Cross multiply
    1,902.00x = 2,623.37 × 1,271.42
  4. Step 4: Simplify right side
    1,902.00x = 3,335,409.90
  5. Step 5: Solve for x
    x = 3,335,409.90/1,902.00
  6. Step 6: Final answer
    x = 1,753.63

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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.