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Finding the Fourth Proportional to 2,866.76, 4,300.54 and 919.56

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Solution

The fourth proportional to 2,866.76, 4,300.54 and 919.56 is: 1,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.76 : 4,300.54 = 919.56 : x
  2. Step 2: Convert to fraction form
    2,866.76/4,300.54 = 919.56/x
  3. Step 3: Cross multiply
    2,866.76x = 4,300.54 × 919.56
  4. Step 4: Simplify right side
    2,866.76x = 3,954,604.56
  5. Step 5: Solve for x
    x = 3,954,604.56/2,866.76
  6. Step 6: Final answer
    x = 1,379.47

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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.