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Finding the Fourth Proportional to 2,604.86, 3,907.86 and 755.99

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Solution

The fourth proportional to 2,604.86, 3,907.86 and 755.99 is: 1,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.86 : 3,907.86 = 755.99 : x
  2. Step 2: Convert to fraction form
    2,604.86/3,907.86 = 755.99/x
  3. Step 3: Cross multiply
    2,604.86x = 3,907.86 × 755.99
  4. Step 4: Simplify right side
    2,604.86x = 2,954,303.08
  5. Step 5: Solve for x
    x = 2,954,303.08/2,604.86
  6. Step 6: Final answer
    x = 1,134.15

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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.