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Finding the Fourth Proportional to 2,758.64, 3,806.32 and 1,579.48

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Solution

The fourth proportional to 2,758.64, 3,806.32 and 1,579.48 is: 2,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.64 : 3,806.32 = 1,579.48 : x
  2. Step 2: Convert to fraction form
    2,758.64/3,806.32 = 1,579.48/x
  3. Step 3: Cross multiply
    2,758.64x = 3,806.32 × 1,579.48
  4. Step 4: Simplify right side
    2,758.64x = 6,012,006.31
  5. Step 5: Solve for x
    x = 6,012,006.31/2,758.64
  6. Step 6: Final answer
    x = 2,179.34

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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.