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Finding the Fourth Proportional to 2,716.14, 4,070.94 and 982.74

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Solution

The fourth proportional to 2,716.14, 4,070.94 and 982.74 is: 1,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.14 : 4,070.94 = 982.74 : x
  2. Step 2: Convert to fraction form
    2,716.14/4,070.94 = 982.74/x
  3. Step 3: Cross multiply
    2,716.14x = 4,070.94 × 982.74
  4. Step 4: Simplify right side
    2,716.14x = 4,000,675.58
  5. Step 5: Solve for x
    x = 4,000,675.58/2,716.14
  6. Step 6: Final answer
    x = 1,472.93

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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.