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Finding the Fourth Proportional to 2,471.73, 3,417.57 and 2,160.51

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Solution

The fourth proportional to 2,471.73, 3,417.57 and 2,160.51 is: 2,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.73 : 3,417.57 = 2,160.51 : x
  2. Step 2: Convert to fraction form
    2,471.73/3,417.57 = 2,160.51/x
  3. Step 3: Cross multiply
    2,471.73x = 3,417.57 × 2,160.51
  4. Step 4: Simplify right side
    2,471.73x = 7,383,694.16
  5. Step 5: Solve for x
    x = 7,383,694.16/2,471.73
  6. Step 6: Final answer
    x = 2,987.26

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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.