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Finding the Fourth Proportional to 1,739.70, 2,399.36 and 1,540.71

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Solution

The fourth proportional to 1,739.70, 2,399.36 and 1,540.71 is: 2,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.70 : 2,399.36 = 1,540.71 : x
  2. Step 2: Convert to fraction form
    1,739.70/2,399.36 = 1,540.71/x
  3. Step 3: Cross multiply
    1,739.70x = 2,399.36 × 1,540.71
  4. Step 4: Simplify right side
    1,739.70x = 3,696,710.24
  5. Step 5: Solve for x
    x = 3,696,710.24/1,739.70
  6. Step 6: Final answer
    x = 2,124.91

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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.