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Finding the Fourth Proportional to 2,675.45, 3,689.72 and 1,792.45

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Solution

The fourth proportional to 2,675.45, 3,689.72 and 1,792.45 is: 2,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.45 : 3,689.72 = 1,792.45 : x
  2. Step 2: Convert to fraction form
    2,675.45/3,689.72 = 1,792.45/x
  3. Step 3: Cross multiply
    2,675.45x = 3,689.72 × 1,792.45
  4. Step 4: Simplify right side
    2,675.45x = 6,613,640.99
  5. Step 5: Solve for x
    x = 6,613,640.99/2,675.45
  6. Step 6: Final answer
    x = 2,471.97

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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.