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Finding the Fourth Proportional to 2,838.19, 3,917.08 and 1,659.26

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Solution

The fourth proportional to 2,838.19, 3,917.08 and 1,659.26 is: 2,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.19 : 3,917.08 = 1,659.26 : x
  2. Step 2: Convert to fraction form
    2,838.19/3,917.08 = 1,659.26/x
  3. Step 3: Cross multiply
    2,838.19x = 3,917.08 × 1,659.26
  4. Step 4: Simplify right side
    2,838.19x = 6,499,459.68
  5. Step 5: Solve for x
    x = 6,499,459.68/2,838.19
  6. Step 6: Final answer
    x = 2,290.00

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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.