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Finding the Fourth Proportional to 1,817.31, 2,726.21 and 647.60

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Solution

The fourth proportional to 1,817.31, 2,726.21 and 647.60 is: 971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.31 : 2,726.21 = 647.60 : x
  2. Step 2: Convert to fraction form
    1,817.31/2,726.21 = 647.60/x
  3. Step 3: Cross multiply
    1,817.31x = 2,726.21 × 647.60
  4. Step 4: Simplify right side
    1,817.31x = 1,765,493.60
  5. Step 5: Solve for x
    x = 1,765,493.60/1,817.31
  6. Step 6: Final answer
    x = 971.49

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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.