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Finding the Fourth Proportional to 1,786.69, 2,463.48 and 1,537.58

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Solution

The fourth proportional to 1,786.69, 2,463.48 and 1,537.58 is: 2,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.69 : 2,463.48 = 1,537.58 : x
  2. Step 2: Convert to fraction form
    1,786.69/2,463.48 = 1,537.58/x
  3. Step 3: Cross multiply
    1,786.69x = 2,463.48 × 1,537.58
  4. Step 4: Simplify right side
    1,786.69x = 3,787,797.58
  5. Step 5: Solve for x
    x = 3,787,797.58/1,786.69
  6. Step 6: Final answer
    x = 2,120.01

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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.