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Finding the Fourth Proportional to 2,095.90, 2,892.26 and 1,151.64

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Solution

The fourth proportional to 2,095.90, 2,892.26 and 1,151.64 is: 1,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.90 : 2,892.26 = 1,151.64 : x
  2. Step 2: Convert to fraction form
    2,095.90/2,892.26 = 1,151.64/x
  3. Step 3: Cross multiply
    2,095.90x = 2,892.26 × 1,151.64
  4. Step 4: Simplify right side
    2,095.90x = 3,330,845.19
  5. Step 5: Solve for x
    x = 3,330,845.19/2,095.90
  6. Step 6: Final answer
    x = 1,589.22

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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.