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Finding the Fourth Proportional to 2,723.64, 3,756.56 and 1,885.74

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Solution

The fourth proportional to 2,723.64, 3,756.56 and 1,885.74 is: 2,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.64 : 3,756.56 = 1,885.74 : x
  2. Step 2: Convert to fraction form
    2,723.64/3,756.56 = 1,885.74/x
  3. Step 3: Cross multiply
    2,723.64x = 3,756.56 × 1,885.74
  4. Step 4: Simplify right side
    2,723.64x = 7,083,910.72
  5. Step 5: Solve for x
    x = 7,083,910.72/2,723.64
  6. Step 6: Final answer
    x = 2,600.90

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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.