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Finding the Fourth Proportional to 2,566.56, 3,541.76 and 1,447.56

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Solution

The fourth proportional to 2,566.56, 3,541.76 and 1,447.56 is: 1,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.56 : 3,541.76 = 1,447.56 : x
  2. Step 2: Convert to fraction form
    2,566.56/3,541.76 = 1,447.56/x
  3. Step 3: Cross multiply
    2,566.56x = 3,541.76 × 1,447.56
  4. Step 4: Simplify right side
    2,566.56x = 5,126,910.11
  5. Step 5: Solve for x
    x = 5,126,910.11/2,566.56
  6. Step 6: Final answer
    x = 1,997.58

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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.