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Finding the Fourth Proportional to 2,897.09, 4,000.42 and 2,154.37

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Solution

The fourth proportional to 2,897.09, 4,000.42 and 2,154.37 is: 2,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.09 : 4,000.42 = 2,154.37 : x
  2. Step 2: Convert to fraction form
    2,897.09/4,000.42 = 2,154.37/x
  3. Step 3: Cross multiply
    2,897.09x = 4,000.42 × 2,154.37
  4. Step 4: Simplify right side
    2,897.09x = 8,618,359.60
  5. Step 5: Solve for x
    x = 8,618,359.60/2,897.09
  6. Step 6: Final answer
    x = 2,974.83

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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.