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Finding the Fourth Proportional to 2,558.49, 3,530.81 and 1,439.63

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Solution

The fourth proportional to 2,558.49, 3,530.81 and 1,439.63 is: 1,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.49 : 3,530.81 = 1,439.63 : x
  2. Step 2: Convert to fraction form
    2,558.49/3,530.81 = 1,439.63/x
  3. Step 3: Cross multiply
    2,558.49x = 3,530.81 × 1,439.63
  4. Step 4: Simplify right side
    2,558.49x = 5,083,035.15
  5. Step 5: Solve for x
    x = 5,083,035.15/2,558.49
  6. Step 6: Final answer
    x = 1,986.73

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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.