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Finding the Fourth Proportional to 2,758.34, 3,788.40 and 2,555.43

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Solution

The fourth proportional to 2,758.34, 3,788.40 and 2,555.43 is: 3,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.34 : 3,788.40 = 2,555.43 : x
  2. Step 2: Convert to fraction form
    2,758.34/3,788.40 = 2,555.43/x
  3. Step 3: Cross multiply
    2,758.34x = 3,788.40 × 2,555.43
  4. Step 4: Simplify right side
    2,758.34x = 9,680,991.01
  5. Step 5: Solve for x
    x = 9,680,991.01/2,758.34
  6. Step 6: Final answer
    x = 3,509.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.