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Finding the Fourth Proportional to 2,137.49, 2,947.89 and 1,391.18

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Solution

The fourth proportional to 2,137.49, 2,947.89 and 1,391.18 is: 1,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.49 : 2,947.89 = 1,391.18 : x
  2. Step 2: Convert to fraction form
    2,137.49/2,947.89 = 1,391.18/x
  3. Step 3: Cross multiply
    2,137.49x = 2,947.89 × 1,391.18
  4. Step 4: Simplify right side
    2,137.49x = 4,101,045.61
  5. Step 5: Solve for x
    x = 4,101,045.61/2,137.49
  6. Step 6: Final answer
    x = 1,918.63

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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.