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Finding the Fourth Proportional to 2,709.49, 4,062.71 and 860.26

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Solution

The fourth proportional to 2,709.49, 4,062.71 and 860.26 is: 1,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.49 : 4,062.71 = 860.26 : x
  2. Step 2: Convert to fraction form
    2,709.49/4,062.71 = 860.26/x
  3. Step 3: Cross multiply
    2,709.49x = 4,062.71 × 860.26
  4. Step 4: Simplify right side
    2,709.49x = 3,494,986.90
  5. Step 5: Solve for x
    x = 3,494,986.90/2,709.49
  6. Step 6: Final answer
    x = 1,289.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.