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Finding the Fourth Proportional to 2,917.50, 4,029.42 and 2,262.30

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Solution

The fourth proportional to 2,917.50, 4,029.42 and 2,262.30 is: 3,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.50 : 4,029.42 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    2,917.50/4,029.42 = 2,262.30/x
  3. Step 3: Cross multiply
    2,917.50x = 4,029.42 × 2,262.30
  4. Step 4: Simplify right side
    2,917.50x = 9,115,756.87
  5. Step 5: Solve for x
    x = 9,115,756.87/2,917.50
  6. Step 6: Final answer
    x = 3,124.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.