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Finding the Fourth Proportional to 2,993.40, 4,456.51 and 2,979

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Solution

The fourth proportional to 2,993.40, 4,456.51 and 2,979 is: 4,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.40 : 4,456.51 = 2,979 : x
  2. Step 2: Convert to fraction form
    2,993.40/4,456.51 = 2,979/x
  3. Step 3: Cross multiply
    2,993.40x = 4,456.51 × 2,979
  4. Step 4: Simplify right side
    2,993.40x = 13,275,943.29
  5. Step 5: Solve for x
    x = 13,275,943.29/2,993.40
  6. Step 6: Final answer
    x = 4,435.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.