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Finding the Fourth Proportional to 2,357.27, 3,535.90 and 1,382.84

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Solution

The fourth proportional to 2,357.27, 3,535.90 and 1,382.84 is: 2,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.27 : 3,535.90 = 1,382.84 : x
  2. Step 2: Convert to fraction form
    2,357.27/3,535.90 = 1,382.84/x
  3. Step 3: Cross multiply
    2,357.27x = 3,535.90 × 1,382.84
  4. Step 4: Simplify right side
    2,357.27x = 4,889,559.36
  5. Step 5: Solve for x
    x = 4,889,559.36/2,357.27
  6. Step 6: Final answer
    x = 2,074.25

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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.