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Finding the Fourth Proportional to 2,998.25, 4,495.64 and 1,149.49

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Solution

The fourth proportional to 2,998.25, 4,495.64 and 1,149.49 is: 1,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.25 : 4,495.64 = 1,149.49 : x
  2. Step 2: Convert to fraction form
    2,998.25/4,495.64 = 1,149.49/x
  3. Step 3: Cross multiply
    2,998.25x = 4,495.64 × 1,149.49
  4. Step 4: Simplify right side
    2,998.25x = 5,167,693.10
  5. Step 5: Solve for x
    x = 5,167,693.10/2,998.25
  6. Step 6: Final answer
    x = 1,723.57

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1.5x scale

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.