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Finding the Fourth Proportional to 2,086.82, 3,130.33 and 1,720.93

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Solution

The fourth proportional to 2,086.82, 3,130.33 and 1,720.93 is: 2,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.82 : 3,130.33 = 1,720.93 : x
  2. Step 2: Convert to fraction form
    2,086.82/3,130.33 = 1,720.93/x
  3. Step 3: Cross multiply
    2,086.82x = 3,130.33 × 1,720.93
  4. Step 4: Simplify right side
    2,086.82x = 5,387,078.81
  5. Step 5: Solve for x
    x = 5,387,078.81/2,086.82
  6. Step 6: Final answer
    x = 2,581.48

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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.