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Finding the Fourth Proportional to 2,897.83, 3,996.88 and 1,902.75

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Solution

The fourth proportional to 2,897.83, 3,996.88 and 1,902.75 is: 2,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.83 : 3,996.88 = 1,902.75 : x
  2. Step 2: Convert to fraction form
    2,897.83/3,996.88 = 1,902.75/x
  3. Step 3: Cross multiply
    2,897.83x = 3,996.88 × 1,902.75
  4. Step 4: Simplify right side
    2,897.83x = 7,605,063.42
  5. Step 5: Solve for x
    x = 7,605,063.42/2,897.83
  6. Step 6: Final answer
    x = 2,624.40

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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.