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Finding the Fourth Proportional to 2,054.05, 2,834.70 and 1,268.11

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Solution

The fourth proportional to 2,054.05, 2,834.70 and 1,268.11 is: 1,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.05 : 2,834.70 = 1,268.11 : x
  2. Step 2: Convert to fraction form
    2,054.05/2,834.70 = 1,268.11/x
  3. Step 3: Cross multiply
    2,054.05x = 2,834.70 × 1,268.11
  4. Step 4: Simplify right side
    2,054.05x = 3,594,690.90
  5. Step 5: Solve for x
    x = 3,594,690.90/2,054.05
  6. Step 6: Final answer
    x = 1,750.05

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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.