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Finding the Fourth Proportional to 2,091.30, 3,118.04 and 1,983.30

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Solution

The fourth proportional to 2,091.30, 3,118.04 and 1,983.30 is: 2,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.30 : 3,118.04 = 1,983.30 : x
  2. Step 2: Convert to fraction form
    2,091.30/3,118.04 = 1,983.30/x
  3. Step 3: Cross multiply
    2,091.30x = 3,118.04 × 1,983.30
  4. Step 4: Simplify right side
    2,091.30x = 6,184,008.73
  5. Step 5: Solve for x
    x = 6,184,008.73/2,091.30
  6. Step 6: Final answer
    x = 2,957.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.