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Finding the Fourth Proportional to 2,954.24, 4,430.26 and 979.51

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Solution

The fourth proportional to 2,954.24, 4,430.26 and 979.51 is: 1,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.24 : 4,430.26 = 979.51 : x
  2. Step 2: Convert to fraction form
    2,954.24/4,430.26 = 979.51/x
  3. Step 3: Cross multiply
    2,954.24x = 4,430.26 × 979.51
  4. Step 4: Simplify right side
    2,954.24x = 4,339,474.12
  5. Step 5: Solve for x
    x = 4,339,474.12/2,954.24
  6. Step 6: Final answer
    x = 1,468.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.