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Finding the Fourth Proportional to 2,276.58, 3,414.86 and 716.71

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Solution

The fourth proportional to 2,276.58, 3,414.86 and 716.71 is: 1,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.58 : 3,414.86 = 716.71 : x
  2. Step 2: Convert to fraction form
    2,276.58/3,414.86 = 716.71/x
  3. Step 3: Cross multiply
    2,276.58x = 3,414.86 × 716.71
  4. Step 4: Simplify right side
    2,276.58x = 2,447,464.31
  5. Step 5: Solve for x
    x = 2,447,464.31/2,276.58
  6. Step 6: Final answer
    x = 1,075.06

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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.