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Finding the Fourth Proportional to 2,564.98, 3,847.51 and 716.05

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Solution

The fourth proportional to 2,564.98, 3,847.51 and 716.05 is: 1,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.98 : 3,847.51 = 716.05 : x
  2. Step 2: Convert to fraction form
    2,564.98/3,847.51 = 716.05/x
  3. Step 3: Cross multiply
    2,564.98x = 3,847.51 × 716.05
  4. Step 4: Simplify right side
    2,564.98x = 2,755,009.54
  5. Step 5: Solve for x
    x = 2,755,009.54/2,564.98
  6. Step 6: Final answer
    x = 1,074.09

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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.