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Finding the Fourth Proportional to 2,554.54, 3,830.87 and 910.78

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Solution

The fourth proportional to 2,554.54, 3,830.87 and 910.78 is: 1,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.54 : 3,830.87 = 910.78 : x
  2. Step 2: Convert to fraction form
    2,554.54/3,830.87 = 910.78/x
  3. Step 3: Cross multiply
    2,554.54x = 3,830.87 × 910.78
  4. Step 4: Simplify right side
    2,554.54x = 3,489,075.22
  5. Step 5: Solve for x
    x = 3,489,075.22/2,554.54
  6. Step 6: Final answer
    x = 1,365.83

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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.