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Finding the Fourth Proportional to 1,769.68, 2,649.08 and 1,667.12

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Solution

The fourth proportional to 1,769.68, 2,649.08 and 1,667.12 is: 2,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.68 : 2,649.08 = 1,667.12 : x
  2. Step 2: Convert to fraction form
    1,769.68/2,649.08 = 1,667.12/x
  3. Step 3: Cross multiply
    1,769.68x = 2,649.08 × 1,667.12
  4. Step 4: Simplify right side
    1,769.68x = 4,416,334.25
  5. Step 5: Solve for x
    x = 4,416,334.25/1,769.68
  6. Step 6: Final answer
    x = 2,495.56

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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.