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Finding the Fourth Proportional to 2,780.28, 3,836.74 and 1,538.28

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Solution

The fourth proportional to 2,780.28, 3,836.74 and 1,538.28 is: 2,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.28 : 3,836.74 = 1,538.28 : x
  2. Step 2: Convert to fraction form
    2,780.28/3,836.74 = 1,538.28/x
  3. Step 3: Cross multiply
    2,780.28x = 3,836.74 × 1,538.28
  4. Step 4: Simplify right side
    2,780.28x = 5,901,980.41
  5. Step 5: Solve for x
    x = 5,901,980.41/2,780.28
  6. Step 6: Final answer
    x = 2,122.80

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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.