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Finding the Fourth Proportional to 2,554.56, 3,830.90 and 910.67

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Solution

The fourth proportional to 2,554.56, 3,830.90 and 910.67 is: 1,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.56 : 3,830.90 = 910.67 : x
  2. Step 2: Convert to fraction form
    2,554.56/3,830.90 = 910.67/x
  3. Step 3: Cross multiply
    2,554.56x = 3,830.90 × 910.67
  4. Step 4: Simplify right side
    2,554.56x = 3,488,662.00
  5. Step 5: Solve for x
    x = 3,488,662.00/2,554.56
  6. Step 6: Final answer
    x = 1,365.66

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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.