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Finding the Fourth Proportional to 2,164.04, 3,243.74 and 931.55

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Solution

The fourth proportional to 2,164.04, 3,243.74 and 931.55 is: 1,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.04 : 3,243.74 = 931.55 : x
  2. Step 2: Convert to fraction form
    2,164.04/3,243.74 = 931.55/x
  3. Step 3: Cross multiply
    2,164.04x = 3,243.74 × 931.55
  4. Step 4: Simplify right side
    2,164.04x = 3,021,685.12
  5. Step 5: Solve for x
    x = 3,021,685.12/2,164.04
  6. Step 6: Final answer
    x = 1,396.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.