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Finding the Fourth Proportional to 2,456.94, 3,388.05 and 1,710.54

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Solution

The fourth proportional to 2,456.94, 3,388.05 and 1,710.54 is: 2,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.94 : 3,388.05 = 1,710.54 : x
  2. Step 2: Convert to fraction form
    2,456.94/3,388.05 = 1,710.54/x
  3. Step 3: Cross multiply
    2,456.94x = 3,388.05 × 1,710.54
  4. Step 4: Simplify right side
    2,456.94x = 5,795,395.05
  5. Step 5: Solve for x
    x = 5,795,395.05/2,456.94
  6. Step 6: Final answer
    x = 2,358.79

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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.