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Finding the Fourth Proportional to 2,722.92, 3,756.13 and 1,777.51

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Solution

The fourth proportional to 2,722.92, 3,756.13 and 1,777.51 is: 2,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.92 : 3,756.13 = 1,777.51 : x
  2. Step 2: Convert to fraction form
    2,722.92/3,756.13 = 1,777.51/x
  3. Step 3: Cross multiply
    2,722.92x = 3,756.13 × 1,777.51
  4. Step 4: Simplify right side
    2,722.92x = 6,676,558.64
  5. Step 5: Solve for x
    x = 6,676,558.64/2,722.92
  6. Step 6: Final answer
    x = 2,451.98

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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.