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Finding the Fourth Proportional to 1,781.40, 2,675.70 and 1,720.20

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Solution

The fourth proportional to 1,781.40, 2,675.70 and 1,720.20 is: 2,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.40 : 2,675.70 = 1,720.20 : x
  2. Step 2: Convert to fraction form
    1,781.40/2,675.70 = 1,720.20/x
  3. Step 3: Cross multiply
    1,781.40x = 2,675.70 × 1,720.20
  4. Step 4: Simplify right side
    1,781.40x = 4,602,739.14
  5. Step 5: Solve for x
    x = 4,602,739.14/1,781.40
  6. Step 6: Final answer
    x = 2,583.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.