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Finding the Fourth Proportional to 2,758.40, 3,806.16 and 1,639.36

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Solution

The fourth proportional to 2,758.40, 3,806.16 and 1,639.36 is: 2,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.40 : 3,806.16 = 1,639.36 : x
  2. Step 2: Convert to fraction form
    2,758.40/3,806.16 = 1,639.36/x
  3. Step 3: Cross multiply
    2,758.40x = 3,806.16 × 1,639.36
  4. Step 4: Simplify right side
    2,758.40x = 6,239,666.46
  5. Step 5: Solve for x
    x = 6,239,666.46/2,758.40
  6. Step 6: Final answer
    x = 2,262.06

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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.