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Finding the Fourth Proportional to 1,765.21, 2,648.22 and 610.96

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Solution

The fourth proportional to 1,765.21, 2,648.22 and 610.96 is: 916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.21 : 2,648.22 = 610.96 : x
  2. Step 2: Convert to fraction form
    1,765.21/2,648.22 = 610.96/x
  3. Step 3: Cross multiply
    1,765.21x = 2,648.22 × 610.96
  4. Step 4: Simplify right side
    1,765.21x = 1,617,956.49
  5. Step 5: Solve for x
    x = 1,617,956.49/1,765.21
  6. Step 6: Final answer
    x = 916.58

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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.