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Finding the Fourth Proportional to 1,748.69, 2,623.94 and 774.56

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Solution

The fourth proportional to 1,748.69, 2,623.94 and 774.56 is: 1,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.69 : 2,623.94 = 774.56 : x
  2. Step 2: Convert to fraction form
    1,748.69/2,623.94 = 774.56/x
  3. Step 3: Cross multiply
    1,748.69x = 2,623.94 × 774.56
  4. Step 4: Simplify right side
    1,748.69x = 2,032,408.91
  5. Step 5: Solve for x
    x = 2,032,408.91/1,748.69
  6. Step 6: Final answer
    x = 1,162.25

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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.