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Finding the Fourth Proportional to 3,257.46, 4,885.74 and 1,065.91

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Solution

The fourth proportional to 3,257.46, 4,885.74 and 1,065.91 is: 1,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.46 : 4,885.74 = 1,065.91 : x
  2. Step 2: Convert to fraction form
    3,257.46/4,885.74 = 1,065.91/x
  3. Step 3: Cross multiply
    3,257.46x = 4,885.74 × 1,065.91
  4. Step 4: Simplify right side
    3,257.46x = 5,207,744.24
  5. Step 5: Solve for x
    x = 5,207,744.24/3,257.46
  6. Step 6: Final answer
    x = 1,598.71

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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.