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Finding the Fourth Proportional to 1,864.27, 2,796.40 and 477.61

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Solution

The fourth proportional to 1,864.27, 2,796.40 and 477.61 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.27 : 2,796.40 = 477.61 : x
  2. Step 2: Convert to fraction form
    1,864.27/2,796.40 = 477.61/x
  3. Step 3: Cross multiply
    1,864.27x = 2,796.40 × 477.61
  4. Step 4: Simplify right side
    1,864.27x = 1,335,588.60
  5. Step 5: Solve for x
    x = 1,335,588.60/1,864.27
  6. Step 6: Final answer
    x = 716.41

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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.