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Finding the Fourth Proportional to 1,720.77, 2,371.89 and 1,347.09

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Solution

The fourth proportional to 1,720.77, 2,371.89 and 1,347.09 is: 1,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.77 : 2,371.89 = 1,347.09 : x
  2. Step 2: Convert to fraction form
    1,720.77/2,371.89 = 1,347.09/x
  3. Step 3: Cross multiply
    1,720.77x = 2,371.89 × 1,347.09
  4. Step 4: Simplify right side
    1,720.77x = 3,195,149.30
  5. Step 5: Solve for x
    x = 3,195,149.30/1,720.77
  6. Step 6: Final answer
    x = 1,856.81

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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.