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Finding the Fourth Proportional to 1,782.80, 2,673.36 and 1,157.08

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Solution

The fourth proportional to 1,782.80, 2,673.36 and 1,157.08 is: 1,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.80 : 2,673.36 = 1,157.08 : x
  2. Step 2: Convert to fraction form
    1,782.80/2,673.36 = 1,157.08/x
  3. Step 3: Cross multiply
    1,782.80x = 2,673.36 × 1,157.08
  4. Step 4: Simplify right side
    1,782.80x = 3,093,291.39
  5. Step 5: Solve for x
    x = 3,093,291.39/1,782.80
  6. Step 6: Final answer
    x = 1,735.07

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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.