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Finding the Fourth Proportional to 1,948.17, 2,922.98 and 716.39

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Solution

The fourth proportional to 1,948.17, 2,922.98 and 716.39 is: 1,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.17 : 2,922.98 = 716.39 : x
  2. Step 2: Convert to fraction form
    1,948.17/2,922.98 = 716.39/x
  3. Step 3: Cross multiply
    1,948.17x = 2,922.98 × 716.39
  4. Step 4: Simplify right side
    1,948.17x = 2,093,975.45
  5. Step 5: Solve for x
    x = 2,093,975.45/1,948.17
  6. Step 6: Final answer
    x = 1,074.84

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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.