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Finding the Fourth Proportional to 1,817.80, 2,726.40 and 722.09

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Solution

The fourth proportional to 1,817.80, 2,726.40 and 722.09 is: 1,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.80 : 2,726.40 = 722.09 : x
  2. Step 2: Convert to fraction form
    1,817.80/2,726.40 = 722.09/x
  3. Step 3: Cross multiply
    1,817.80x = 2,726.40 × 722.09
  4. Step 4: Simplify right side
    1,817.80x = 1,968,706.18
  5. Step 5: Solve for x
    x = 1,968,706.18/1,817.80
  6. Step 6: Final answer
    x = 1,083.02

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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.