Home / 1,542.81-2,313.41-1,157.25

Finding the Fourth Proportional to 1,542.81, 2,313.41 and 1,157.25

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Solution

The fourth proportional to 1,542.81, 2,313.41 and 1,157.25 is: 1,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.81 : 2,313.41 = 1,157.25 : x
  2. Step 2: Convert to fraction form
    1,542.81/2,313.41 = 1,157.25/x
  3. Step 3: Cross multiply
    1,542.81x = 2,313.41 × 1,157.25
  4. Step 4: Simplify right side
    1,542.81x = 2,677,187.94
  5. Step 5: Solve for x
    x = 2,677,187.94/1,542.81
  6. Step 6: Final answer
    x = 1,735.27

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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.