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Finding the Fourth Proportional to 2,983.58, 4,116.14 and 1,921.16

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Solution

The fourth proportional to 2,983.58, 4,116.14 and 1,921.16 is: 2,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.58 : 4,116.14 = 1,921.16 : x
  2. Step 2: Convert to fraction form
    2,983.58/4,116.14 = 1,921.16/x
  3. Step 3: Cross multiply
    2,983.58x = 4,116.14 × 1,921.16
  4. Step 4: Simplify right side
    2,983.58x = 7,907,763.52
  5. Step 5: Solve for x
    x = 7,907,763.52/2,983.58
  6. Step 6: Final answer
    x = 2,650.43

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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.