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Finding the Fourth Proportional to 3,176.76, 4,765.47 and 1,328.97

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Solution

The fourth proportional to 3,176.76, 4,765.47 and 1,328.97 is: 1,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.76 : 4,765.47 = 1,328.97 : x
  2. Step 2: Convert to fraction form
    3,176.76/4,765.47 = 1,328.97/x
  3. Step 3: Cross multiply
    3,176.76x = 4,765.47 × 1,328.97
  4. Step 4: Simplify right side
    3,176.76x = 6,333,166.67
  5. Step 5: Solve for x
    x = 6,333,166.67/3,176.76
  6. Step 6: Final answer
    x = 1,993.59

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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.