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Finding the Fourth Proportional to 2,577.92, 3,556.16 and 2,223.20

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Solution

The fourth proportional to 2,577.92, 3,556.16 and 2,223.20 is: 3,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.92 : 3,556.16 = 2,223.20 : x
  2. Step 2: Convert to fraction form
    2,577.92/3,556.16 = 2,223.20/x
  3. Step 3: Cross multiply
    2,577.92x = 3,556.16 × 2,223.20
  4. Step 4: Simplify right side
    2,577.92x = 7,906,054.91
  5. Step 5: Solve for x
    x = 7,906,054.91/2,577.92
  6. Step 6: Final answer
    x = 3,066.83

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