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Finding the Fourth Proportional to 2,471.67, 3,417.46 and 2,160.28

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Solution

The fourth proportional to 2,471.67, 3,417.46 and 2,160.28 is: 2,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.67 : 3,417.46 = 2,160.28 : x
  2. Step 2: Convert to fraction form
    2,471.67/3,417.46 = 2,160.28/x
  3. Step 3: Cross multiply
    2,471.67x = 3,417.46 × 2,160.28
  4. Step 4: Simplify right side
    2,471.67x = 7,382,662.29
  5. Step 5: Solve for x
    x = 7,382,662.29/2,471.67
  6. Step 6: Final answer
    x = 2,986.92

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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.