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Finding the Fourth Proportional to 1,933.58, 2,883.88 and 1,882.82

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Solution

The fourth proportional to 1,933.58, 2,883.88 and 1,882.82 is: 2,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.58 : 2,883.88 = 1,882.82 : x
  2. Step 2: Convert to fraction form
    1,933.58/2,883.88 = 1,882.82/x
  3. Step 3: Cross multiply
    1,933.58x = 2,883.88 × 1,882.82
  4. Step 4: Simplify right side
    1,933.58x = 5,429,826.94
  5. Step 5: Solve for x
    x = 5,429,826.94/1,933.58
  6. Step 6: Final answer
    x = 2,808.17

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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.