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Finding the Fourth Proportional to 1,936.32, 2,886.24 and 1,780.80

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Solution

The fourth proportional to 1,936.32, 2,886.24 and 1,780.80 is: 2,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.32 : 2,886.24 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    1,936.32/2,886.24 = 1,780.80/x
  3. Step 3: Cross multiply
    1,936.32x = 2,886.24 × 1,780.80
  4. Step 4: Simplify right side
    1,936.32x = 5,139,816.19
  5. Step 5: Solve for x
    x = 5,139,816.19/1,936.32
  6. Step 6: Final answer
    x = 2,654.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.