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Finding the Fourth Proportional to 2,758.54, 4,137.75 and 678.55

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Solution

The fourth proportional to 2,758.54, 4,137.75 and 678.55 is: 1,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.54 : 4,137.75 = 678.55 : x
  2. Step 2: Convert to fraction form
    2,758.54/4,137.75 = 678.55/x
  3. Step 3: Cross multiply
    2,758.54x = 4,137.75 × 678.55
  4. Step 4: Simplify right side
    2,758.54x = 2,807,670.26
  5. Step 5: Solve for x
    x = 2,807,670.26/2,758.54
  6. Step 6: Final answer
    x = 1,017.81

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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.