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Finding the Fourth Proportional to 2,689.54, 3,709.51 and 1,945.96

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Solution

The fourth proportional to 2,689.54, 3,709.51 and 1,945.96 is: 2,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.54 : 3,709.51 = 1,945.96 : x
  2. Step 2: Convert to fraction form
    2,689.54/3,709.51 = 1,945.96/x
  3. Step 3: Cross multiply
    2,689.54x = 3,709.51 × 1,945.96
  4. Step 4: Simplify right side
    2,689.54x = 7,218,543.94
  5. Step 5: Solve for x
    x = 7,218,543.94/2,689.54
  6. Step 6: Final answer
    x = 2,683.94

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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.