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Finding the Fourth Proportional to 2,361.18, 3,540.81 and 973.80

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Solution

The fourth proportional to 2,361.18, 3,540.81 and 973.80 is: 1,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.18 : 3,540.81 = 973.80 : x
  2. Step 2: Convert to fraction form
    2,361.18/3,540.81 = 973.80/x
  3. Step 3: Cross multiply
    2,361.18x = 3,540.81 × 973.80
  4. Step 4: Simplify right side
    2,361.18x = 3,448,040.78
  5. Step 5: Solve for x
    x = 3,448,040.78/2,361.18
  6. Step 6: Final answer
    x = 1,460.30

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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.