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Finding the Fourth Proportional to 3,554.92, 4,905.77 and 1,983

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Solution

The fourth proportional to 3,554.92, 4,905.77 and 1,983 is: 2,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.92 : 4,905.77 = 1,983 : x
  2. Step 2: Convert to fraction form
    3,554.92/4,905.77 = 1,983/x
  3. Step 3: Cross multiply
    3,554.92x = 4,905.77 × 1,983
  4. Step 4: Simplify right side
    3,554.92x = 9,728,132.00
  5. Step 5: Solve for x
    x = 9,728,132.00/3,554.92
  6. Step 6: Final answer
    x = 2,736.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.