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Finding the Fourth Proportional to 2,078.22, 3,117.30 and 518.22

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Solution

The fourth proportional to 2,078.22, 3,117.30 and 518.22 is: 777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.22 : 3,117.30 = 518.22 : x
  2. Step 2: Convert to fraction form
    2,078.22/3,117.30 = 518.22/x
  3. Step 3: Cross multiply
    2,078.22x = 3,117.30 × 518.22
  4. Step 4: Simplify right side
    2,078.22x = 1,615,447.21
  5. Step 5: Solve for x
    x = 1,615,447.21/2,078.22
  6. Step 6: Final answer
    x = 777.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.