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Finding the Fourth Proportional to 2,924.64, 4,034.49 and 1,980.48

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Solution

The fourth proportional to 2,924.64, 4,034.49 and 1,980.48 is: 2,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.64 : 4,034.49 = 1,980.48 : x
  2. Step 2: Convert to fraction form
    2,924.64/4,034.49 = 1,980.48/x
  3. Step 3: Cross multiply
    2,924.64x = 4,034.49 × 1,980.48
  4. Step 4: Simplify right side
    2,924.64x = 7,990,226.76
  5. Step 5: Solve for x
    x = 7,990,226.76/2,924.64
  6. Step 6: Final answer
    x = 2,732.04

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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.