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Finding the Fourth Proportional to 1,748.41, 2,622.64 and 515.85

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Solution

The fourth proportional to 1,748.41, 2,622.64 and 515.85 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.41 : 2,622.64 = 515.85 : x
  2. Step 2: Convert to fraction form
    1,748.41/2,622.64 = 515.85/x
  3. Step 3: Cross multiply
    1,748.41x = 2,622.64 × 515.85
  4. Step 4: Simplify right side
    1,748.41x = 1,352,873.15
  5. Step 5: Solve for x
    x = 1,352,873.15/1,748.41
  6. Step 6: Final answer
    x = 773.77

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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.