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Finding the Fourth Proportional to 1,980.82, 2,984.85 and 1,641.77

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Solution

The fourth proportional to 1,980.82, 2,984.85 and 1,641.77 is: 2,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.82 : 2,984.85 = 1,641.77 : x
  2. Step 2: Convert to fraction form
    1,980.82/2,984.85 = 1,641.77/x
  3. Step 3: Cross multiply
    1,980.82x = 2,984.85 × 1,641.77
  4. Step 4: Simplify right side
    1,980.82x = 4,900,433.45
  5. Step 5: Solve for x
    x = 4,900,433.45/1,980.82
  6. Step 6: Final answer
    x = 2,473.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.