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Finding the Fourth Proportional to 3,130.82, 4,320.99 and 1,786.41

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Solution

The fourth proportional to 3,130.82, 4,320.99 and 1,786.41 is: 2,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.82 : 4,320.99 = 1,786.41 : x
  2. Step 2: Convert to fraction form
    3,130.82/4,320.99 = 1,786.41/x
  3. Step 3: Cross multiply
    3,130.82x = 4,320.99 × 1,786.41
  4. Step 4: Simplify right side
    3,130.82x = 7,719,059.75
  5. Step 5: Solve for x
    x = 7,719,059.75/3,130.82
  6. Step 6: Final answer
    x = 2,465.51

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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.