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Finding the Fourth Proportional to 2,316.31, 3,196.22 and 1,845.40

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Solution

The fourth proportional to 2,316.31, 3,196.22 and 1,845.40 is: 2,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.31 : 3,196.22 = 1,845.40 : x
  2. Step 2: Convert to fraction form
    2,316.31/3,196.22 = 1,845.40/x
  3. Step 3: Cross multiply
    2,316.31x = 3,196.22 × 1,845.40
  4. Step 4: Simplify right side
    2,316.31x = 5,898,304.39
  5. Step 5: Solve for x
    x = 5,898,304.39/2,316.31
  6. Step 6: Final answer
    x = 2,546.43

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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.