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Finding the Fourth Proportional to 2,876.26, 4,314.40 and 824.26

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Solution

The fourth proportional to 2,876.26, 4,314.40 and 824.26 is: 1,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.26 : 4,314.40 = 824.26 : x
  2. Step 2: Convert to fraction form
    2,876.26/4,314.40 = 824.26/x
  3. Step 3: Cross multiply
    2,876.26x = 4,314.40 × 824.26
  4. Step 4: Simplify right side
    2,876.26x = 3,556,187.34
  5. Step 5: Solve for x
    x = 3,556,187.34/2,876.26
  6. Step 6: Final answer
    x = 1,236.39

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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.