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Finding the Fourth Proportional to 2,769.43, 4,154.55 and 990.35

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Solution

The fourth proportional to 2,769.43, 4,154.55 and 990.35 is: 1,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.43 : 4,154.55 = 990.35 : x
  2. Step 2: Convert to fraction form
    2,769.43/4,154.55 = 990.35/x
  3. Step 3: Cross multiply
    2,769.43x = 4,154.55 × 990.35
  4. Step 4: Simplify right side
    2,769.43x = 4,114,458.59
  5. Step 5: Solve for x
    x = 4,114,458.59/2,769.43
  6. Step 6: Final answer
    x = 1,485.67

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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.