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Finding the Fourth Proportional to 2,619.86, 3,616.24 and 1,678.18

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Solution

The fourth proportional to 2,619.86, 3,616.24 and 1,678.18 is: 2,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.86 : 3,616.24 = 1,678.18 : x
  2. Step 2: Convert to fraction form
    2,619.86/3,616.24 = 1,678.18/x
  3. Step 3: Cross multiply
    2,619.86x = 3,616.24 × 1,678.18
  4. Step 4: Simplify right side
    2,619.86x = 6,068,705.84
  5. Step 5: Solve for x
    x = 6,068,705.84/2,619.86
  6. Step 6: Final answer
    x = 2,316.43

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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.