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Finding the Fourth Proportional to 2,825, 4,237.74 and 773

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Solution

The fourth proportional to 2,825, 4,237.74 and 773 is: 1,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825 : 4,237.74 = 773 : x
  2. Step 2: Convert to fraction form
    2,825/4,237.74 = 773/x
  3. Step 3: Cross multiply
    2,825x = 4,237.74 × 773
  4. Step 4: Simplify right side
    2,825x = 3,275,773.02
  5. Step 5: Solve for x
    x = 3,275,773.02/2,825
  6. Step 6: Final answer
    x = 1,159.57

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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.