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Finding the Fourth Proportional to 2,573.96, 3,860.33 and 1,186.43

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Solution

The fourth proportional to 2,573.96, 3,860.33 and 1,186.43 is: 1,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.96 : 3,860.33 = 1,186.43 : x
  2. Step 2: Convert to fraction form
    2,573.96/3,860.33 = 1,186.43/x
  3. Step 3: Cross multiply
    2,573.96x = 3,860.33 × 1,186.43
  4. Step 4: Simplify right side
    2,573.96x = 4,579,986.09
  5. Step 5: Solve for x
    x = 4,579,986.09/2,573.96
  6. Step 6: Final answer
    x = 1,779.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.