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Finding the Fourth Proportional to 1,765.82, 2,439.88 and 1,544.42

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Solution

The fourth proportional to 1,765.82, 2,439.88 and 1,544.42 is: 2,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.82 : 2,439.88 = 1,544.42 : x
  2. Step 2: Convert to fraction form
    1,765.82/2,439.88 = 1,544.42/x
  3. Step 3: Cross multiply
    1,765.82x = 2,439.88 × 1,544.42
  4. Step 4: Simplify right side
    1,765.82x = 3,768,199.47
  5. Step 5: Solve for x
    x = 3,768,199.47/1,765.82
  6. Step 6: Final answer
    x = 2,133.97

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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.