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Finding the Fourth Proportional to 2,535.44, 3,805.14 and 1,302.80

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Solution

The fourth proportional to 2,535.44, 3,805.14 and 1,302.80 is: 1,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.44 : 3,805.14 = 1,302.80 : x
  2. Step 2: Convert to fraction form
    2,535.44/3,805.14 = 1,302.80/x
  3. Step 3: Cross multiply
    2,535.44x = 3,805.14 × 1,302.80
  4. Step 4: Simplify right side
    2,535.44x = 4,957,336.39
  5. Step 5: Solve for x
    x = 4,957,336.39/2,535.44
  6. Step 6: Final answer
    x = 1,955.22

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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.