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Finding the Fourth Proportional to 1,805.23, 2,705.73 and 867.61

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Solution

The fourth proportional to 1,805.23, 2,705.73 and 867.61 is: 1,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.23 : 2,705.73 = 867.61 : x
  2. Step 2: Convert to fraction form
    1,805.23/2,705.73 = 867.61/x
  3. Step 3: Cross multiply
    1,805.23x = 2,705.73 × 867.61
  4. Step 4: Simplify right side
    1,805.23x = 2,347,518.41
  5. Step 5: Solve for x
    x = 2,347,518.41/1,805.23
  6. Step 6: Final answer
    x = 1,300.40

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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.