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Finding the Fourth Proportional to 2,165.61, 3,245.69 and 931.59

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Solution

The fourth proportional to 2,165.61, 3,245.69 and 931.59 is: 1,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.61 : 3,245.69 = 931.59 : x
  2. Step 2: Convert to fraction form
    2,165.61/3,245.69 = 931.59/x
  3. Step 3: Cross multiply
    2,165.61x = 3,245.69 × 931.59
  4. Step 4: Simplify right side
    2,165.61x = 3,023,647.69
  5. Step 5: Solve for x
    x = 3,023,647.69/2,165.61
  6. Step 6: Final answer
    x = 1,396.21

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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.