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Finding the Fourth Proportional to 2,361.76, 3,542.56 and 974.06

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Solution

The fourth proportional to 2,361.76, 3,542.56 and 974.06 is: 1,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.76 : 3,542.56 = 974.06 : x
  2. Step 2: Convert to fraction form
    2,361.76/3,542.56 = 974.06/x
  3. Step 3: Cross multiply
    2,361.76x = 3,542.56 × 974.06
  4. Step 4: Simplify right side
    2,361.76x = 3,450,665.99
  5. Step 5: Solve for x
    x = 3,450,665.99/2,361.76
  6. Step 6: Final answer
    x = 1,461.06

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Why These Related Problems?

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