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Finding the Fourth Proportional to 2,897.02, 3,996.84 and 1,902.84

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Solution

The fourth proportional to 2,897.02, 3,996.84 and 1,902.84 is: 2,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.02 : 3,996.84 = 1,902.84 : x
  2. Step 2: Convert to fraction form
    2,897.02/3,996.84 = 1,902.84/x
  3. Step 3: Cross multiply
    2,897.02x = 3,996.84 × 1,902.84
  4. Step 4: Simplify right side
    2,897.02x = 7,605,347.03
  5. Step 5: Solve for x
    x = 7,605,347.03/2,897.02
  6. Step 6: Final answer
    x = 2,625.23

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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.