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Finding the Fourth Proportional to 2,919.21, 4,379.50 and 839.16

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Solution

The fourth proportional to 2,919.21, 4,379.50 and 839.16 is: 1,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.21 : 4,379.50 = 839.16 : x
  2. Step 2: Convert to fraction form
    2,919.21/4,379.50 = 839.16/x
  3. Step 3: Cross multiply
    2,919.21x = 4,379.50 × 839.16
  4. Step 4: Simplify right side
    2,919.21x = 3,675,075.13
  5. Step 5: Solve for x
    x = 3,675,075.13/2,919.21
  6. Step 6: Final answer
    x = 1,258.93

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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.