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Finding the Fourth Proportional to 2,471.74, 3,403.23 and 2,097.94

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Solution

The fourth proportional to 2,471.74, 3,403.23 and 2,097.94 is: 2,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.74 : 3,403.23 = 2,097.94 : x
  2. Step 2: Convert to fraction form
    2,471.74/3,403.23 = 2,097.94/x
  3. Step 3: Cross multiply
    2,471.74x = 3,403.23 × 2,097.94
  4. Step 4: Simplify right side
    2,471.74x = 7,139,772.35
  5. Step 5: Solve for x
    x = 7,139,772.35/2,471.74
  6. Step 6: Final answer
    x = 2,888.56

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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.