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Finding the Fourth Proportional to 2,095.72, 2,892.34 and 1,164.28

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Solution

The fourth proportional to 2,095.72, 2,892.34 and 1,164.28 is: 1,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.72 : 2,892.34 = 1,164.28 : x
  2. Step 2: Convert to fraction form
    2,095.72/2,892.34 = 1,164.28/x
  3. Step 3: Cross multiply
    2,095.72x = 2,892.34 × 1,164.28
  4. Step 4: Simplify right side
    2,095.72x = 3,367,493.62
  5. Step 5: Solve for x
    x = 3,367,493.62/2,095.72
  6. Step 6: Final answer
    x = 1,606.84

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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.