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Finding the Fourth Proportional to 3,257.07, 4,885.07 and 1,176.68

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Solution

The fourth proportional to 3,257.07, 4,885.07 and 1,176.68 is: 1,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.07 : 4,885.07 = 1,176.68 : x
  2. Step 2: Convert to fraction form
    3,257.07/4,885.07 = 1,176.68/x
  3. Step 3: Cross multiply
    3,257.07x = 4,885.07 × 1,176.68
  4. Step 4: Simplify right side
    3,257.07x = 5,748,133.86
  5. Step 5: Solve for x
    x = 5,748,133.86/3,257.07
  6. Step 6: Final answer
    x = 1,764.82

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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.