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Finding the Fourth Proportional to 1,755.90, 2,427.75 and 1,537.20

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Solution

The fourth proportional to 1,755.90, 2,427.75 and 1,537.20 is: 2,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.90 : 2,427.75 = 1,537.20 : x
  2. Step 2: Convert to fraction form
    1,755.90/2,427.75 = 1,537.20/x
  3. Step 3: Cross multiply
    1,755.90x = 2,427.75 × 1,537.20
  4. Step 4: Simplify right side
    1,755.90x = 3,731,937.30
  5. Step 5: Solve for x
    x = 3,731,937.30/1,755.90
  6. Step 6: Final answer
    x = 2,125.37

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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.