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Finding the Fourth Proportional to 2,767.85, 4,152.99 and 1,469

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Solution

The fourth proportional to 2,767.85, 4,152.99 and 1,469 is: 2,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.85 : 4,152.99 = 1,469 : x
  2. Step 2: Convert to fraction form
    2,767.85/4,152.99 = 1,469/x
  3. Step 3: Cross multiply
    2,767.85x = 4,152.99 × 1,469
  4. Step 4: Simplify right side
    2,767.85x = 6,100,742.31
  5. Step 5: Solve for x
    x = 6,100,742.31/2,767.85
  6. Step 6: Final answer
    x = 2,204.14

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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.