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Finding the Fourth Proportional to 2,176.37, 3,265.20 and 860.31

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Solution

The fourth proportional to 2,176.37, 3,265.20 and 860.31 is: 1,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.37 : 3,265.20 = 860.31 : x
  2. Step 2: Convert to fraction form
    2,176.37/3,265.20 = 860.31/x
  3. Step 3: Cross multiply
    2,176.37x = 3,265.20 × 860.31
  4. Step 4: Simplify right side
    2,176.37x = 2,809,084.21
  5. Step 5: Solve for x
    x = 2,809,084.21/2,176.37
  6. Step 6: Final answer
    x = 1,290.72

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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.