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Finding the Fourth Proportional to 1,774.89, 2,660.97 and 1,408.58

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Solution

The fourth proportional to 1,774.89, 2,660.97 and 1,408.58 is: 2,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.89 : 2,660.97 = 1,408.58 : x
  2. Step 2: Convert to fraction form
    1,774.89/2,660.97 = 1,408.58/x
  3. Step 3: Cross multiply
    1,774.89x = 2,660.97 × 1,408.58
  4. Step 4: Simplify right side
    1,774.89x = 3,748,175.82
  5. Step 5: Solve for x
    x = 3,748,175.82/1,774.89
  6. Step 6: Final answer
    x = 2,111.78

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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.