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Finding the Fourth Proportional to 1,409.05, 1,943.86 and 849.18

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Solution

The fourth proportional to 1,409.05, 1,943.86 and 849.18 is: 1,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.05 : 1,943.86 = 849.18 : x
  2. Step 2: Convert to fraction form
    1,409.05/1,943.86 = 849.18/x
  3. Step 3: Cross multiply
    1,409.05x = 1,943.86 × 849.18
  4. Step 4: Simplify right side
    1,409.05x = 1,650,687.03
  5. Step 5: Solve for x
    x = 1,650,687.03/1,409.05
  6. Step 6: Final answer
    x = 1,171.49

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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.