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Finding the Fourth Proportional to 2,827.45, 4,241.85 and 879.67

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Solution

The fourth proportional to 2,827.45, 4,241.85 and 879.67 is: 1,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.45 : 4,241.85 = 879.67 : x
  2. Step 2: Convert to fraction form
    2,827.45/4,241.85 = 879.67/x
  3. Step 3: Cross multiply
    2,827.45x = 4,241.85 × 879.67
  4. Step 4: Simplify right side
    2,827.45x = 3,731,428.19
  5. Step 5: Solve for x
    x = 3,731,428.19/2,827.45
  6. Step 6: Final answer
    x = 1,319.72

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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.