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Finding the Fourth Proportional to 1,662.81, 2,494.44 and 567.35

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Solution

The fourth proportional to 1,662.81, 2,494.44 and 567.35 is: 851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.81 : 2,494.44 = 567.35 : x
  2. Step 2: Convert to fraction form
    1,662.81/2,494.44 = 567.35/x
  3. Step 3: Cross multiply
    1,662.81x = 2,494.44 × 567.35
  4. Step 4: Simplify right side
    1,662.81x = 1,415,208.06
  5. Step 5: Solve for x
    x = 1,415,208.06/1,662.81
  6. Step 6: Final answer
    x = 851.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.