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Finding the Fourth Proportional to 2,168.56, 2,992.08 and 1,283.86

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Solution

The fourth proportional to 2,168.56, 2,992.08 and 1,283.86 is: 1,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.56 : 2,992.08 = 1,283.86 : x
  2. Step 2: Convert to fraction form
    2,168.56/2,992.08 = 1,283.86/x
  3. Step 3: Cross multiply
    2,168.56x = 2,992.08 × 1,283.86
  4. Step 4: Simplify right side
    2,168.56x = 3,841,411.83
  5. Step 5: Solve for x
    x = 3,841,411.83/2,168.56
  6. Step 6: Final answer
    x = 1,771.41

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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.