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Finding the Fourth Proportional to 2,384.55, 3,289.83 and 1,439.64

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Solution

The fourth proportional to 2,384.55, 3,289.83 and 1,439.64 is: 1,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.55 : 3,289.83 = 1,439.64 : x
  2. Step 2: Convert to fraction form
    2,384.55/3,289.83 = 1,439.64/x
  3. Step 3: Cross multiply
    2,384.55x = 3,289.83 × 1,439.64
  4. Step 4: Simplify right side
    2,384.55x = 4,736,170.86
  5. Step 5: Solve for x
    x = 4,736,170.86/2,384.55
  6. Step 6: Final answer
    x = 1,986.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.