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Finding the Fourth Proportional to 1,739.80, 2,399.55 and 1,540.84

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Solution

The fourth proportional to 1,739.80, 2,399.55 and 1,540.84 is: 2,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.80 : 2,399.55 = 1,540.84 : x
  2. Step 2: Convert to fraction form
    1,739.80/2,399.55 = 1,540.84/x
  3. Step 3: Cross multiply
    1,739.80x = 2,399.55 × 1,540.84
  4. Step 4: Simplify right side
    1,739.80x = 3,697,322.62
  5. Step 5: Solve for x
    x = 3,697,322.62/1,739.80
  6. Step 6: Final answer
    x = 2,125.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.