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Finding the Fourth Proportional to 2,095.71, 2,892.20 and 1,164.21

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Solution

The fourth proportional to 2,095.71, 2,892.20 and 1,164.21 is: 1,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.71 : 2,892.20 = 1,164.21 : x
  2. Step 2: Convert to fraction form
    2,095.71/2,892.20 = 1,164.21/x
  3. Step 3: Cross multiply
    2,095.71x = 2,892.20 × 1,164.21
  4. Step 4: Simplify right side
    2,095.71x = 3,367,128.16
  5. Step 5: Solve for x
    x = 3,367,128.16/2,095.71
  6. Step 6: Final answer
    x = 1,606.68

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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.