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Finding the Fourth Proportional to 2,782.79, 4,193.74 and 2,505.48

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Solution

The fourth proportional to 2,782.79, 4,193.74 and 2,505.48 is: 3,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.79 : 4,193.74 = 2,505.48 : x
  2. Step 2: Convert to fraction form
    2,782.79/4,193.74 = 2,505.48/x
  3. Step 3: Cross multiply
    2,782.79x = 4,193.74 × 2,505.48
  4. Step 4: Simplify right side
    2,782.79x = 10,507,347.98
  5. Step 5: Solve for x
    x = 10,507,347.98/2,782.79
  6. Step 6: Final answer
    x = 3,775.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.