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Finding the Fourth Proportional to 1,786.49, 2,464.89 and 1,196

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Solution

The fourth proportional to 1,786.49, 2,464.89 and 1,196 is: 1,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.49 : 2,464.89 = 1,196 : x
  2. Step 2: Convert to fraction form
    1,786.49/2,464.89 = 1,196/x
  3. Step 3: Cross multiply
    1,786.49x = 2,464.89 × 1,196
  4. Step 4: Simplify right side
    1,786.49x = 2,948,008.44
  5. Step 5: Solve for x
    x = 2,948,008.44/1,786.49
  6. Step 6: Final answer
    x = 1,650.17

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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.