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Finding the Fourth Proportional to 2,885.64, 3,980.58 and 2,001.96

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Solution

The fourth proportional to 2,885.64, 3,980.58 and 2,001.96 is: 2,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.64 : 3,980.58 = 2,001.96 : x
  2. Step 2: Convert to fraction form
    2,885.64/3,980.58 = 2,001.96/x
  3. Step 3: Cross multiply
    2,885.64x = 3,980.58 × 2,001.96
  4. Step 4: Simplify right side
    2,885.64x = 7,968,961.94
  5. Step 5: Solve for x
    x = 7,968,961.94/2,885.64
  6. Step 6: Final answer
    x = 2,761.59

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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.