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Finding the Fourth Proportional to 2,359.91, 3,540.37 and 716.58

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Solution

The fourth proportional to 2,359.91, 3,540.37 and 716.58 is: 1,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.91 : 3,540.37 = 716.58 : x
  2. Step 2: Convert to fraction form
    2,359.91/3,540.37 = 716.58/x
  3. Step 3: Cross multiply
    2,359.91x = 3,540.37 × 716.58
  4. Step 4: Simplify right side
    2,359.91x = 2,536,958.33
  5. Step 5: Solve for x
    x = 2,536,958.33/2,359.91
  6. Step 6: Final answer
    x = 1,075.02

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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.