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Finding the Fourth Proportional to 2,504.24, 3,756.72 and 773

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Solution

The fourth proportional to 2,504.24, 3,756.72 and 773 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.24 : 3,756.72 = 773 : x
  2. Step 2: Convert to fraction form
    2,504.24/3,756.72 = 773/x
  3. Step 3: Cross multiply
    2,504.24x = 3,756.72 × 773
  4. Step 4: Simplify right side
    2,504.24x = 2,903,944.56
  5. Step 5: Solve for x
    x = 2,903,944.56/2,504.24
  6. Step 6: Final answer
    x = 1,159.61

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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.