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Finding the Fourth Proportional to 2,272.47, 3,406.25 and 1,100.00

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Solution

The fourth proportional to 2,272.47, 3,406.25 and 1,100.00 is: 1,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.47 : 3,406.25 = 1,100.00 : x
  2. Step 2: Convert to fraction form
    2,272.47/3,406.25 = 1,100.00/x
  3. Step 3: Cross multiply
    2,272.47x = 3,406.25 × 1,100.00
  4. Step 4: Simplify right side
    2,272.47x = 3,746,857.97
  5. Step 5: Solve for x
    x = 3,746,857.97/2,272.47
  6. Step 6: Final answer
    x = 1,648.80

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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.