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Finding the Fourth Proportional to 3,176.85, 4,765.28 and 868.35

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Solution

The fourth proportional to 3,176.85, 4,765.28 and 868.35 is: 1,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.85 : 4,765.28 = 868.35 : x
  2. Step 2: Convert to fraction form
    3,176.85/4,765.28 = 868.35/x
  3. Step 3: Cross multiply
    3,176.85x = 4,765.28 × 868.35
  4. Step 4: Simplify right side
    3,176.85x = 4,137,940.63
  5. Step 5: Solve for x
    x = 4,137,940.63/3,176.85
  6. Step 6: Final answer
    x = 1,302.53

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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.