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Finding the Fourth Proportional to 1,864.42, 2,796.62 and 477.75

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Solution

The fourth proportional to 1,864.42, 2,796.62 and 477.75 is: 716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.42 : 2,796.62 = 477.75 : x
  2. Step 2: Convert to fraction form
    1,864.42/2,796.62 = 477.75/x
  3. Step 3: Cross multiply
    1,864.42x = 2,796.62 × 477.75
  4. Step 4: Simplify right side
    1,864.42x = 1,336,072.33
  5. Step 5: Solve for x
    x = 1,336,072.33/1,864.42
  6. Step 6: Final answer
    x = 716.62

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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.