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Finding the Fourth Proportional to 2,897.22, 3,999.84 and 2,014.23

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Solution

The fourth proportional to 2,897.22, 3,999.84 and 2,014.23 is: 2,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.22 : 3,999.84 = 2,014.23 : x
  2. Step 2: Convert to fraction form
    2,897.22/3,999.84 = 2,014.23/x
  3. Step 3: Cross multiply
    2,897.22x = 3,999.84 × 2,014.23
  4. Step 4: Simplify right side
    2,897.22x = 8,056,597.72
  5. Step 5: Solve for x
    x = 8,056,597.72/2,897.22
  6. Step 6: Final answer
    x = 2,780.80

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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.