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Finding the Fourth Proportional to 1,549.80, 2,138.16 and 1,214.94

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Solution

The fourth proportional to 1,549.80, 2,138.16 and 1,214.94 is: 1,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.80 : 2,138.16 = 1,214.94 : x
  2. Step 2: Convert to fraction form
    1,549.80/2,138.16 = 1,214.94/x
  3. Step 3: Cross multiply
    1,549.80x = 2,138.16 × 1,214.94
  4. Step 4: Simplify right side
    1,549.80x = 2,597,736.11
  5. Step 5: Solve for x
    x = 2,597,736.11/1,549.80
  6. Step 6: Final answer
    x = 1,676.18

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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.