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Finding the Fourth Proportional to 2,272.76, 3,135.00 and 1,993.01

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Solution

The fourth proportional to 2,272.76, 3,135.00 and 1,993.01 is: 2,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.76 : 3,135.00 = 1,993.01 : x
  2. Step 2: Convert to fraction form
    2,272.76/3,135.00 = 1,993.01/x
  3. Step 3: Cross multiply
    2,272.76x = 3,135.00 × 1,993.01
  4. Step 4: Simplify right side
    2,272.76x = 6,248,078.15
  5. Step 5: Solve for x
    x = 6,248,078.15/2,272.76
  6. Step 6: Final answer
    x = 2,749.12

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Double scale
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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.