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Finding the Fourth Proportional to 2,941.50, 4,029.90 and 2,830.80

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Solution

The fourth proportional to 2,941.50, 4,029.90 and 2,830.80 is: 3,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.50 : 4,029.90 = 2,830.80 : x
  2. Step 2: Convert to fraction form
    2,941.50/4,029.90 = 2,830.80/x
  3. Step 3: Cross multiply
    2,941.50x = 4,029.90 × 2,830.80
  4. Step 4: Simplify right side
    2,941.50x = 11,407,840.92
  5. Step 5: Solve for x
    x = 11,407,840.92/2,941.50
  6. Step 6: Final answer
    x = 3,878.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.