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Finding the Fourth Proportional to 1,883.06, 2,823.95 and 728.50

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Solution

The fourth proportional to 1,883.06, 2,823.95 and 728.50 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.06 : 2,823.95 = 728.50 : x
  2. Step 2: Convert to fraction form
    1,883.06/2,823.95 = 728.50/x
  3. Step 3: Cross multiply
    1,883.06x = 2,823.95 × 728.50
  4. Step 4: Simplify right side
    1,883.06x = 2,057,247.58
  5. Step 5: Solve for x
    x = 2,057,247.58/1,883.06
  6. Step 6: Final answer
    x = 1,092.50

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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.