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Finding the Fourth Proportional to 2,669.60, 4,004.70 and 820.70

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Solution

The fourth proportional to 2,669.60, 4,004.70 and 820.70 is: 1,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.60 : 4,004.70 = 820.70 : x
  2. Step 2: Convert to fraction form
    2,669.60/4,004.70 = 820.70/x
  3. Step 3: Cross multiply
    2,669.60x = 4,004.70 × 820.70
  4. Step 4: Simplify right side
    2,669.60x = 3,286,657.29
  5. Step 5: Solve for x
    x = 3,286,657.29/2,669.60
  6. Step 6: Final answer
    x = 1,231.14

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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.