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Finding the Fourth Proportional to 2,868.40, 4,299.84 and 919.36

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Solution

The fourth proportional to 2,868.40, 4,299.84 and 919.36 is: 1,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.40 : 4,299.84 = 919.36 : x
  2. Step 2: Convert to fraction form
    2,868.40/4,299.84 = 919.36/x
  3. Step 3: Cross multiply
    2,868.40x = 4,299.84 × 919.36
  4. Step 4: Simplify right side
    2,868.40x = 3,953,100.90
  5. Step 5: Solve for x
    x = 3,953,100.90/2,868.40
  6. Step 6: Final answer
    x = 1,378.16

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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.