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Finding the Fourth Proportional to 2,996.56, 4,502.04 and 2,830.78

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Solution

The fourth proportional to 2,996.56, 4,502.04 and 2,830.78 is: 4,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.56 : 4,502.04 = 2,830.78 : x
  2. Step 2: Convert to fraction form
    2,996.56/4,502.04 = 2,830.78/x
  3. Step 3: Cross multiply
    2,996.56x = 4,502.04 × 2,830.78
  4. Step 4: Simplify right side
    2,996.56x = 12,744,284.79
  5. Step 5: Solve for x
    x = 12,744,284.79/2,996.56
  6. Step 6: Final answer
    x = 4,252.97

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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.