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Finding the Fourth Proportional to 2,977.77, 4,466.31 and 786.67

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Solution

The fourth proportional to 2,977.77, 4,466.31 and 786.67 is: 1,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.77 : 4,466.31 = 786.67 : x
  2. Step 2: Convert to fraction form
    2,977.77/4,466.31 = 786.67/x
  3. Step 3: Cross multiply
    2,977.77x = 4,466.31 × 786.67
  4. Step 4: Simplify right side
    2,977.77x = 3,513,520.62
  5. Step 5: Solve for x
    x = 3,513,520.62/2,977.77
  6. Step 6: Final answer
    x = 1,179.92

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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.