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Finding the Fourth Proportional to 2,504.60, 3,749.95 and 1,265.95

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Solution

The fourth proportional to 2,504.60, 3,749.95 and 1,265.95 is: 1,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.60 : 3,749.95 = 1,265.95 : x
  2. Step 2: Convert to fraction form
    2,504.60/3,749.95 = 1,265.95/x
  3. Step 3: Cross multiply
    2,504.60x = 3,749.95 × 1,265.95
  4. Step 4: Simplify right side
    2,504.60x = 4,747,249.20
  5. Step 5: Solve for x
    x = 4,747,249.20/2,504.60
  6. Step 6: Final answer
    x = 1,895.41

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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.