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Finding the Fourth Proportional to 2,998.04, 4,495.59 and 1,049.96

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Solution

The fourth proportional to 2,998.04, 4,495.59 and 1,049.96 is: 1,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.04 : 4,495.59 = 1,049.96 : x
  2. Step 2: Convert to fraction form
    2,998.04/4,495.59 = 1,049.96/x
  3. Step 3: Cross multiply
    2,998.04x = 4,495.59 × 1,049.96
  4. Step 4: Simplify right side
    2,998.04x = 4,720,189.68
  5. Step 5: Solve for x
    x = 4,720,189.68/2,998.04
  6. Step 6: Final answer
    x = 1,574.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.