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Finding the Fourth Proportional to 2,158.71, 2,979.02 and 1,214.54

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Solution

The fourth proportional to 2,158.71, 2,979.02 and 1,214.54 is: 1,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.71 : 2,979.02 = 1,214.54 : x
  2. Step 2: Convert to fraction form
    2,158.71/2,979.02 = 1,214.54/x
  3. Step 3: Cross multiply
    2,158.71x = 2,979.02 × 1,214.54
  4. Step 4: Simplify right side
    2,158.71x = 3,618,117.98
  5. Step 5: Solve for x
    x = 3,618,117.98/2,158.71
  6. Step 6: Final answer
    x = 1,676.06

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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.