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Finding the Fourth Proportional to 1,443.49, 1,991.94 and 846.10

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Solution

The fourth proportional to 1,443.49, 1,991.94 and 846.10 is: 1,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.49 : 1,991.94 = 846.10 : x
  2. Step 2: Convert to fraction form
    1,443.49/1,991.94 = 846.10/x
  3. Step 3: Cross multiply
    1,443.49x = 1,991.94 × 846.10
  4. Step 4: Simplify right side
    1,443.49x = 1,685,380.43
  5. Step 5: Solve for x
    x = 1,685,380.43/1,443.49
  6. Step 6: Final answer
    x = 1,167.57

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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.