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Finding the Fourth Proportional to 2,029.50, 2,797.65 and 1,748.25

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Solution

The fourth proportional to 2,029.50, 2,797.65 and 1,748.25 is: 2,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.50 : 2,797.65 = 1,748.25 : x
  2. Step 2: Convert to fraction form
    2,029.50/2,797.65 = 1,748.25/x
  3. Step 3: Cross multiply
    2,029.50x = 2,797.65 × 1,748.25
  4. Step 4: Simplify right side
    2,029.50x = 4,890,991.61
  5. Step 5: Solve for x
    x = 4,890,991.61/2,029.50
  6. Step 6: Final answer
    x = 2,409.95

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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.