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Finding the Fourth Proportional to 2,272.90, 3,409.00 and 1,456.87

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Solution

The fourth proportional to 2,272.90, 3,409.00 and 1,456.87 is: 2,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.90 : 3,409.00 = 1,456.87 : x
  2. Step 2: Convert to fraction form
    2,272.90/3,409.00 = 1,456.87/x
  3. Step 3: Cross multiply
    2,272.90x = 3,409.00 × 1,456.87
  4. Step 4: Simplify right side
    2,272.90x = 4,966,481.99
  5. Step 5: Solve for x
    x = 4,966,481.99/2,272.90
  6. Step 6: Final answer
    x = 2,185.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.