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Finding the Fourth Proportional to 2,838.68, 4,259.84 and 1,606.97

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Solution

The fourth proportional to 2,838.68, 4,259.84 and 1,606.97 is: 2,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.68 : 4,259.84 = 1,606.97 : x
  2. Step 2: Convert to fraction form
    2,838.68/4,259.84 = 1,606.97/x
  3. Step 3: Cross multiply
    2,838.68x = 4,259.84 × 1,606.97
  4. Step 4: Simplify right side
    2,838.68x = 6,845,405.75
  5. Step 5: Solve for x
    x = 6,845,405.75/2,838.68
  6. Step 6: Final answer
    x = 2,411.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.