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Finding the Fourth Proportional to 2,095.90, 2,892.15 and 1,164.22

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Solution

The fourth proportional to 2,095.90, 2,892.15 and 1,164.22 is: 1,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.90 : 2,892.15 = 1,164.22 : x
  2. Step 2: Convert to fraction form
    2,095.90/2,892.15 = 1,164.22/x
  3. Step 3: Cross multiply
    2,095.90x = 2,892.15 × 1,164.22
  4. Step 4: Simplify right side
    2,095.90x = 3,367,098.87
  5. Step 5: Solve for x
    x = 3,367,098.87/2,095.90
  6. Step 6: Final answer
    x = 1,606.52

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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.