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Finding the Fourth Proportional to 3,029.22, 4,543.84 and 837.96

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Solution

The fourth proportional to 3,029.22, 4,543.84 and 837.96 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.22 : 4,543.84 = 837.96 : x
  2. Step 2: Convert to fraction form
    3,029.22/4,543.84 = 837.96/x
  3. Step 3: Cross multiply
    3,029.22x = 4,543.84 × 837.96
  4. Step 4: Simplify right side
    3,029.22x = 3,807,556.17
  5. Step 5: Solve for x
    x = 3,807,556.17/3,029.22
  6. Step 6: Final answer
    x = 1,256.94

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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.