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Finding the Fourth Proportional to 1,892.96, 2,820.96 and 1,831.04

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Solution

The fourth proportional to 1,892.96, 2,820.96 and 1,831.04 is: 2,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.96 : 2,820.96 = 1,831.04 : x
  2. Step 2: Convert to fraction form
    1,892.96/2,820.96 = 1,831.04/x
  3. Step 3: Cross multiply
    1,892.96x = 2,820.96 × 1,831.04
  4. Step 4: Simplify right side
    1,892.96x = 5,165,290.60
  5. Step 5: Solve for x
    x = 5,165,290.60/1,892.96
  6. Step 6: Final answer
    x = 2,728.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.