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Finding the Fourth Proportional to 1,840.23, 2,761.71 and 867.02

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Solution

The fourth proportional to 1,840.23, 2,761.71 and 867.02 is: 1,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.23 : 2,761.71 = 867.02 : x
  2. Step 2: Convert to fraction form
    1,840.23/2,761.71 = 867.02/x
  3. Step 3: Cross multiply
    1,840.23x = 2,761.71 × 867.02
  4. Step 4: Simplify right side
    1,840.23x = 2,394,444.00
  5. Step 5: Solve for x
    x = 2,394,444.00/1,840.23
  6. Step 6: Final answer
    x = 1,301.17

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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.