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Finding the Fourth Proportional to 2,504.59, 3,755.43 and 860.29

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Solution

The fourth proportional to 2,504.59, 3,755.43 and 860.29 is: 1,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.59 : 3,755.43 = 860.29 : x
  2. Step 2: Convert to fraction form
    2,504.59/3,755.43 = 860.29/x
  3. Step 3: Cross multiply
    2,504.59x = 3,755.43 × 860.29
  4. Step 4: Simplify right side
    2,504.59x = 3,230,749.49
  5. Step 5: Solve for x
    x = 3,230,749.49/2,504.59
  6. Step 6: Final answer
    x = 1,289.93

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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.