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Finding the Fourth Proportional to 2,858.76, 4,289.40 and 1,399.32

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Solution

The fourth proportional to 2,858.76, 4,289.40 and 1,399.32 is: 2,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.76 : 4,289.40 = 1,399.32 : x
  2. Step 2: Convert to fraction form
    2,858.76/4,289.40 = 1,399.32/x
  3. Step 3: Cross multiply
    2,858.76x = 4,289.40 × 1,399.32
  4. Step 4: Simplify right side
    2,858.76x = 6,002,243.21
  5. Step 5: Solve for x
    x = 6,002,243.21/2,858.76
  6. Step 6: Final answer
    x = 2,099.60

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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.