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Finding the Fourth Proportional to 2,875.89, 3,969.96 and 1,980.89

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Solution

The fourth proportional to 2,875.89, 3,969.96 and 1,980.89 is: 2,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.89 : 3,969.96 = 1,980.89 : x
  2. Step 2: Convert to fraction form
    2,875.89/3,969.96 = 1,980.89/x
  3. Step 3: Cross multiply
    2,875.89x = 3,969.96 × 1,980.89
  4. Step 4: Simplify right side
    2,875.89x = 7,864,034.21
  5. Step 5: Solve for x
    x = 7,864,034.21/2,875.89
  6. Step 6: Final answer
    x = 2,734.47

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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.