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Finding the Fourth Proportional to 2,712.92, 4,066.32 and 1,777.66

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Solution

The fourth proportional to 2,712.92, 4,066.32 and 1,777.66 is: 2,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.92 : 4,066.32 = 1,777.66 : x
  2. Step 2: Convert to fraction form
    2,712.92/4,066.32 = 1,777.66/x
  3. Step 3: Cross multiply
    2,712.92x = 4,066.32 × 1,777.66
  4. Step 4: Simplify right side
    2,712.92x = 7,228,534.41
  5. Step 5: Solve for x
    x = 7,228,534.41/2,712.92
  6. Step 6: Final answer
    x = 2,664.48

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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.