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Finding the Fourth Proportional to 2,934.72, 4,050 and 1,608.41

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Solution

The fourth proportional to 2,934.72, 4,050 and 1,608.41 is: 2,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.72 : 4,050 = 1,608.41 : x
  2. Step 2: Convert to fraction form
    2,934.72/4,050 = 1,608.41/x
  3. Step 3: Cross multiply
    2,934.72x = 4,050 × 1,608.41
  4. Step 4: Simplify right side
    2,934.72x = 6,514,040.25
  5. Step 5: Solve for x
    x = 6,514,040.25/2,934.72
  6. Step 6: Final answer
    x = 2,219.65

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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.