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Finding the Fourth Proportional to 2,672.77, 3,688.56 and 1,610.71

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Solution

The fourth proportional to 2,672.77, 3,688.56 and 1,610.71 is: 2,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.77 : 3,688.56 = 1,610.71 : x
  2. Step 2: Convert to fraction form
    2,672.77/3,688.56 = 1,610.71/x
  3. Step 3: Cross multiply
    2,672.77x = 3,688.56 × 1,610.71
  4. Step 4: Simplify right side
    2,672.77x = 5,941,200.48
  5. Step 5: Solve for x
    x = 5,941,200.48/2,672.77
  6. Step 6: Final answer
    x = 2,222.86

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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.