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Finding the Fourth Proportional to 1,755.98, 2,420.25 and 1,362.26

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Solution

The fourth proportional to 1,755.98, 2,420.25 and 1,362.26 is: 1,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.98 : 2,420.25 = 1,362.26 : x
  2. Step 2: Convert to fraction form
    1,755.98/2,420.25 = 1,362.26/x
  3. Step 3: Cross multiply
    1,755.98x = 2,420.25 × 1,362.26
  4. Step 4: Simplify right side
    1,755.98x = 3,297,009.77
  5. Step 5: Solve for x
    x = 3,297,009.77/1,755.98
  6. Step 6: Final answer
    x = 1,877.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.