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Finding the Fourth Proportional to 2,558.79, 3,530.82 and 1,439.55

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Solution

The fourth proportional to 2,558.79, 3,530.82 and 1,439.55 is: 1,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.79 : 3,530.82 = 1,439.55 : x
  2. Step 2: Convert to fraction form
    2,558.79/3,530.82 = 1,439.55/x
  3. Step 3: Cross multiply
    2,558.79x = 3,530.82 × 1,439.55
  4. Step 4: Simplify right side
    2,558.79x = 5,082,791.93
  5. Step 5: Solve for x
    x = 5,082,791.93/2,558.79
  6. Step 6: Final answer
    x = 1,986.40

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Why These Related Problems?

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