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Finding the Fourth Proportional to 2,579.43, 3,869.43 and 848.19

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Solution

The fourth proportional to 2,579.43, 3,869.43 and 848.19 is: 1,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.43 : 3,869.43 = 848.19 : x
  2. Step 2: Convert to fraction form
    2,579.43/3,869.43 = 848.19/x
  3. Step 3: Cross multiply
    2,579.43x = 3,869.43 × 848.19
  4. Step 4: Simplify right side
    2,579.43x = 3,282,011.83
  5. Step 5: Solve for x
    x = 3,282,011.83/2,579.43
  6. Step 6: Final answer
    x = 1,272.38

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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.