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Finding the Fourth Proportional to 2,361.12, 3,541.56 and 974.10

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Solution

The fourth proportional to 2,361.12, 3,541.56 and 974.10 is: 1,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.12 : 3,541.56 = 974.10 : x
  2. Step 2: Convert to fraction form
    2,361.12/3,541.56 = 974.10/x
  3. Step 3: Cross multiply
    2,361.12x = 3,541.56 × 974.10
  4. Step 4: Simplify right side
    2,361.12x = 3,449,833.60
  5. Step 5: Solve for x
    x = 3,449,833.60/2,361.12
  6. Step 6: Final answer
    x = 1,461.10

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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.