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Finding the Fourth Proportional to 1,846.21, 2,769.68 and 691.96

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Solution

The fourth proportional to 1,846.21, 2,769.68 and 691.96 is: 1,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.21 : 2,769.68 = 691.96 : x
  2. Step 2: Convert to fraction form
    1,846.21/2,769.68 = 691.96/x
  3. Step 3: Cross multiply
    1,846.21x = 2,769.68 × 691.96
  4. Step 4: Simplify right side
    1,846.21x = 1,916,507.77
  5. Step 5: Solve for x
    x = 1,916,507.77/1,846.21
  6. Step 6: Final answer
    x = 1,038.08

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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.