Home / 1,540.23-2,311.57-718.08

Finding the Fourth Proportional to 1,540.23, 2,311.57 and 718.08

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Solution

The fourth proportional to 1,540.23, 2,311.57 and 718.08 is: 1,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.23 : 2,311.57 = 718.08 : x
  2. Step 2: Convert to fraction form
    1,540.23/2,311.57 = 718.08/x
  3. Step 3: Cross multiply
    1,540.23x = 2,311.57 × 718.08
  4. Step 4: Simplify right side
    1,540.23x = 1,659,894.37
  5. Step 5: Solve for x
    x = 1,659,894.37/1,540.23
  6. Step 6: Final answer
    x = 1,077.69

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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.