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Finding the Fourth Proportional to 2,894.52, 4,343.94 and 2,514.36

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Solution

The fourth proportional to 2,894.52, 4,343.94 and 2,514.36 is: 3,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.52 : 4,343.94 = 2,514.36 : x
  2. Step 2: Convert to fraction form
    2,894.52/4,343.94 = 2,514.36/x
  3. Step 3: Cross multiply
    2,894.52x = 4,343.94 × 2,514.36
  4. Step 4: Simplify right side
    2,894.52x = 10,922,228.98
  5. Step 5: Solve for x
    x = 10,922,228.98/2,894.52
  6. Step 6: Final answer
    x = 3,773.42

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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.