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Finding the Fourth Proportional to 2,361.06, 3,542.01 and 973.62

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Solution

The fourth proportional to 2,361.06, 3,542.01 and 973.62 is: 1,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.06 : 3,542.01 = 973.62 : x
  2. Step 2: Convert to fraction form
    2,361.06/3,542.01 = 973.62/x
  3. Step 3: Cross multiply
    2,361.06x = 3,542.01 × 973.62
  4. Step 4: Simplify right side
    2,361.06x = 3,448,571.78
  5. Step 5: Solve for x
    x = 3,448,571.78/2,361.06
  6. Step 6: Final answer
    x = 1,460.60

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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.