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Finding the Fourth Proportional to 2,035.34, 3,057.84 and 1,306.34

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Solution

The fourth proportional to 2,035.34, 3,057.84 and 1,306.34 is: 1,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.34 : 3,057.84 = 1,306.34 : x
  2. Step 2: Convert to fraction form
    2,035.34/3,057.84 = 1,306.34/x
  3. Step 3: Cross multiply
    2,035.34x = 3,057.84 × 1,306.34
  4. Step 4: Simplify right side
    2,035.34x = 3,994,578.71
  5. Step 5: Solve for x
    x = 3,994,578.71/2,035.34
  6. Step 6: Final answer
    x = 1,962.61

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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.