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Finding the Fourth Proportional to 1,817.13, 2,725.69 and 449.13

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Solution

The fourth proportional to 1,817.13, 2,725.69 and 449.13 is: 673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.13 : 2,725.69 = 449.13 : x
  2. Step 2: Convert to fraction form
    1,817.13/2,725.69 = 449.13/x
  3. Step 3: Cross multiply
    1,817.13x = 2,725.69 × 449.13
  4. Step 4: Simplify right side
    1,817.13x = 1,224,175.52
  5. Step 5: Solve for x
    x = 1,224,175.52/1,817.13
  6. Step 6: Final answer
    x = 673.69

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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.