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Finding the Fourth Proportional to 2,783.82, 4,176.63 and 935.78

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Solution

The fourth proportional to 2,783.82, 4,176.63 and 935.78 is: 1,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.82 : 4,176.63 = 935.78 : x
  2. Step 2: Convert to fraction form
    2,783.82/4,176.63 = 935.78/x
  3. Step 3: Cross multiply
    2,783.82x = 4,176.63 × 935.78
  4. Step 4: Simplify right side
    2,783.82x = 3,908,406.82
  5. Step 5: Solve for x
    x = 3,908,406.82/2,783.82
  6. Step 6: Final answer
    x = 1,403.97

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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.