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Finding the Fourth Proportional to 3,029.24, 4,543.86 and 949.26

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Solution

The fourth proportional to 3,029.24, 4,543.86 and 949.26 is: 1,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.24 : 4,543.86 = 949.26 : x
  2. Step 2: Convert to fraction form
    3,029.24/4,543.86 = 949.26/x
  3. Step 3: Cross multiply
    3,029.24x = 4,543.86 × 949.26
  4. Step 4: Simplify right side
    3,029.24x = 4,313,325.14
  5. Step 5: Solve for x
    x = 4,313,325.14/3,029.24
  6. Step 6: Final answer
    x = 1,423.90

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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.