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Finding the Fourth Proportional to 1,190.49, 1,641.63 and 941.41

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Solution

The fourth proportional to 1,190.49, 1,641.63 and 941.41 is: 1,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.49 : 1,641.63 = 941.41 : x
  2. Step 2: Convert to fraction form
    1,190.49/1,641.63 = 941.41/x
  3. Step 3: Cross multiply
    1,190.49x = 1,641.63 × 941.41
  4. Step 4: Simplify right side
    1,190.49x = 1,545,446.90
  5. Step 5: Solve for x
    x = 1,545,446.90/1,190.49
  6. Step 6: Final answer
    x = 1,298.16

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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.