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Finding the Fourth Proportional to 2,885.09, 3,980.12 and 1,765.58

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Solution

The fourth proportional to 2,885.09, 3,980.12 and 1,765.58 is: 2,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.09 : 3,980.12 = 1,765.58 : x
  2. Step 2: Convert to fraction form
    2,885.09/3,980.12 = 1,765.58/x
  3. Step 3: Cross multiply
    2,885.09x = 3,980.12 × 1,765.58
  4. Step 4: Simplify right side
    2,885.09x = 7,027,191.54
  5. Step 5: Solve for x
    x = 7,027,191.54/2,885.09
  6. Step 6: Final answer
    x = 2,435.70

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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.