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Finding the Fourth Proportional to 1,712.28, 2,357.51 and 1,619.99

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Solution

The fourth proportional to 1,712.28, 2,357.51 and 1,619.99 is: 2,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.28 : 2,357.51 = 1,619.99 : x
  2. Step 2: Convert to fraction form
    1,712.28/2,357.51 = 1,619.99/x
  3. Step 3: Cross multiply
    1,712.28x = 2,357.51 × 1,619.99
  4. Step 4: Simplify right side
    1,712.28x = 3,819,142.62
  5. Step 5: Solve for x
    x = 3,819,142.62/1,712.28
  6. Step 6: Final answer
    x = 2,230.44

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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.