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Finding the Fourth Proportional to 2,893.22, 3,992.64 and 1,566.93

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Solution

The fourth proportional to 2,893.22, 3,992.64 and 1,566.93 is: 2,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.22 : 3,992.64 = 1,566.93 : x
  2. Step 2: Convert to fraction form
    2,893.22/3,992.64 = 1,566.93/x
  3. Step 3: Cross multiply
    2,893.22x = 3,992.64 × 1,566.93
  4. Step 4: Simplify right side
    2,893.22x = 6,256,199.69
  5. Step 5: Solve for x
    x = 6,256,199.69/2,893.22
  6. Step 6: Final answer
    x = 2,162.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.