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Finding the Fourth Proportional to 1,781.56, 2,460.56 and 1,757.28

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Solution

The fourth proportional to 1,781.56, 2,460.56 and 1,757.28 is: 2,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.56 : 2,460.56 = 1,757.28 : x
  2. Step 2: Convert to fraction form
    1,781.56/2,460.56 = 1,757.28/x
  3. Step 3: Cross multiply
    1,781.56x = 2,460.56 × 1,757.28
  4. Step 4: Simplify right side
    1,781.56x = 4,323,892.88
  5. Step 5: Solve for x
    x = 4,323,892.88/1,781.56
  6. Step 6: Final answer
    x = 2,427.03

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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.