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Finding the Fourth Proportional to 2,383.70, 3,290.22 and 1,544.45

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Solution

The fourth proportional to 2,383.70, 3,290.22 and 1,544.45 is: 2,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.70 : 3,290.22 = 1,544.45 : x
  2. Step 2: Convert to fraction form
    2,383.70/3,290.22 = 1,544.45/x
  3. Step 3: Cross multiply
    2,383.70x = 3,290.22 × 1,544.45
  4. Step 4: Simplify right side
    2,383.70x = 5,081,563.83
  5. Step 5: Solve for x
    x = 5,081,563.83/2,383.70
  6. Step 6: Final answer
    x = 2,131.80

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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.