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Finding the Fourth Proportional to 2,473.20, 3,410.28 and 1,687.68

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Solution

The fourth proportional to 2,473.20, 3,410.28 and 1,687.68 is: 2,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.20 : 3,410.28 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    2,473.20/3,410.28 = 1,687.68/x
  3. Step 3: Cross multiply
    2,473.20x = 3,410.28 × 1,687.68
  4. Step 4: Simplify right side
    2,473.20x = 5,755,461.35
  5. Step 5: Solve for x
    x = 5,755,461.35/2,473.20
  6. Step 6: Final answer
    x = 2,327.13

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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.