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Finding the Fourth Proportional to 1,817.13, 2,726.04 and 584.55

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Solution

The fourth proportional to 1,817.13, 2,726.04 and 584.55 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.13 : 2,726.04 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,817.13/2,726.04 = 584.55/x
  3. Step 3: Cross multiply
    1,817.13x = 2,726.04 × 584.55
  4. Step 4: Simplify right side
    1,817.13x = 1,593,506.68
  5. Step 5: Solve for x
    x = 1,593,506.68/1,817.13
  6. Step 6: Final answer
    x = 876.94

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