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Finding the Fourth Proportional to 1,817.38, 2,726.06 and 449.38

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Solution

The fourth proportional to 1,817.38, 2,726.06 and 449.38 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.38 : 2,726.06 = 449.38 : x
  2. Step 2: Convert to fraction form
    1,817.38/2,726.06 = 449.38/x
  3. Step 3: Cross multiply
    1,817.38x = 2,726.06 × 449.38
  4. Step 4: Simplify right side
    1,817.38x = 1,225,036.84
  5. Step 5: Solve for x
    x = 1,225,036.84/1,817.38
  6. Step 6: Final answer
    x = 674.07

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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.