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Finding the Fourth Proportional to 2,554.15, 3,830.67 and 910.81

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Solution

The fourth proportional to 2,554.15, 3,830.67 and 910.81 is: 1,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.15 : 3,830.67 = 910.81 : x
  2. Step 2: Convert to fraction form
    2,554.15/3,830.67 = 910.81/x
  3. Step 3: Cross multiply
    2,554.15x = 3,830.67 × 910.81
  4. Step 4: Simplify right side
    2,554.15x = 3,489,012.54
  5. Step 5: Solve for x
    x = 3,489,012.54/2,554.15
  6. Step 6: Final answer
    x = 1,366.02

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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.