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Finding the Fourth Proportional to 1,768, 2,439.87 and 1,069.36

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Solution

The fourth proportional to 1,768, 2,439.87 and 1,069.36 is: 1,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768 : 2,439.87 = 1,069.36 : x
  2. Step 2: Convert to fraction form
    1,768/2,439.87 = 1,069.36/x
  3. Step 3: Cross multiply
    1,768x = 2,439.87 × 1,069.36
  4. Step 4: Simplify right side
    1,768x = 2,609,099.38
  5. Step 5: Solve for x
    x = 2,609,099.38/1,768
  6. Step 6: Final answer
    x = 1,475.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.