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Finding the Fourth Proportional to 2,272.54, 3,406.11 and 971.26

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Solution

The fourth proportional to 2,272.54, 3,406.11 and 971.26 is: 1,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.54 : 3,406.11 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,272.54/3,406.11 = 971.26/x
  3. Step 3: Cross multiply
    2,272.54x = 3,406.11 × 971.26
  4. Step 4: Simplify right side
    2,272.54x = 3,308,218.40
  5. Step 5: Solve for x
    x = 3,308,218.40/2,272.54
  6. Step 6: Final answer
    x = 1,455.74

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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.