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Finding the Fourth Proportional to 1,817.56, 2,726.78 and 585.09

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Solution

The fourth proportional to 1,817.56, 2,726.78 and 585.09 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.56 : 2,726.78 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,817.56/2,726.78 = 585.09/x
  3. Step 3: Cross multiply
    1,817.56x = 2,726.78 × 585.09
  4. Step 4: Simplify right side
    1,817.56x = 1,595,395.15
  5. Step 5: Solve for x
    x = 1,595,395.15/1,817.56
  6. Step 6: Final answer
    x = 877.77

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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.