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Finding the Fourth Proportional to 2,919.29, 4,379.51 and 945.41

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Solution

The fourth proportional to 2,919.29, 4,379.51 and 945.41 is: 1,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.29 : 4,379.51 = 945.41 : x
  2. Step 2: Convert to fraction form
    2,919.29/4,379.51 = 945.41/x
  3. Step 3: Cross multiply
    2,919.29x = 4,379.51 × 945.41
  4. Step 4: Simplify right side
    2,919.29x = 4,140,427.82
  5. Step 5: Solve for x
    x = 4,140,427.82/2,919.29
  6. Step 6: Final answer
    x = 1,418.30

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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.