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Finding the Fourth Proportional to 2,469.87, 3,403.71 and 1,770.03

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Solution

The fourth proportional to 2,469.87, 3,403.71 and 1,770.03 is: 2,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.87 : 3,403.71 = 1,770.03 : x
  2. Step 2: Convert to fraction form
    2,469.87/3,403.71 = 1,770.03/x
  3. Step 3: Cross multiply
    2,469.87x = 3,403.71 × 1,770.03
  4. Step 4: Simplify right side
    2,469.87x = 6,024,668.81
  5. Step 5: Solve for x
    x = 6,024,668.81/2,469.87
  6. Step 6: Final answer
    x = 2,439.27

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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.