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Finding the Fourth Proportional to 1,846.69, 2,768.66 and 1,116.10

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Solution

The fourth proportional to 1,846.69, 2,768.66 and 1,116.10 is: 1,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.69 : 2,768.66 = 1,116.10 : x
  2. Step 2: Convert to fraction form
    1,846.69/2,768.66 = 1,116.10/x
  3. Step 3: Cross multiply
    1,846.69x = 2,768.66 × 1,116.10
  4. Step 4: Simplify right side
    1,846.69x = 3,090,094.20
  5. Step 5: Solve for x
    x = 3,090,094.20/1,846.69
  6. Step 6: Final answer
    x = 1,673.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.