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Finding the Fourth Proportional to 2,920.24, 4,029.96 and 1,678

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Solution

The fourth proportional to 2,920.24, 4,029.96 and 1,678 is: 2,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.24 : 4,029.96 = 1,678 : x
  2. Step 2: Convert to fraction form
    2,920.24/4,029.96 = 1,678/x
  3. Step 3: Cross multiply
    2,920.24x = 4,029.96 × 1,678
  4. Step 4: Simplify right side
    2,920.24x = 6,762,272.88
  5. Step 5: Solve for x
    x = 6,762,272.88/2,920.24
  6. Step 6: Final answer
    x = 2,315.66

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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.