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Finding the Fourth Proportional to 3,089.70, 4,263.73 and 1,763.37

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Solution

The fourth proportional to 3,089.70, 4,263.73 and 1,763.37 is: 2,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.70 : 4,263.73 = 1,763.37 : x
  2. Step 2: Convert to fraction form
    3,089.70/4,263.73 = 1,763.37/x
  3. Step 3: Cross multiply
    3,089.70x = 4,263.73 × 1,763.37
  4. Step 4: Simplify right side
    3,089.70x = 7,518,533.57
  5. Step 5: Solve for x
    x = 7,518,533.57/3,089.70
  6. Step 6: Final answer
    x = 2,433.42

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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.