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Finding the Fourth Proportional to 1,748.90, 2,624.49 and 1,633.64

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Solution

The fourth proportional to 1,748.90, 2,624.49 and 1,633.64 is: 2,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.90 : 2,624.49 = 1,633.64 : x
  2. Step 2: Convert to fraction form
    1,748.90/2,624.49 = 1,633.64/x
  3. Step 3: Cross multiply
    1,748.90x = 2,624.49 × 1,633.64
  4. Step 4: Simplify right side
    1,748.90x = 4,287,458.72
  5. Step 5: Solve for x
    x = 4,287,458.72/1,748.90
  6. Step 6: Final answer
    x = 2,451.51

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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.