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Finding the Fourth Proportional to 2,862.09, 4,293.33 and 914.44

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Solution

The fourth proportional to 2,862.09, 4,293.33 and 914.44 is: 1,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.09 : 4,293.33 = 914.44 : x
  2. Step 2: Convert to fraction form
    2,862.09/4,293.33 = 914.44/x
  3. Step 3: Cross multiply
    2,862.09x = 4,293.33 × 914.44
  4. Step 4: Simplify right side
    2,862.09x = 3,925,992.69
  5. Step 5: Solve for x
    x = 3,925,992.69/2,862.09
  6. Step 6: Final answer
    x = 1,371.72

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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.