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Finding the Fourth Proportional to 2,922.84, 4,384.26 and 731.57

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Solution

The fourth proportional to 2,922.84, 4,384.26 and 731.57 is: 1,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.84 : 4,384.26 = 731.57 : x
  2. Step 2: Convert to fraction form
    2,922.84/4,384.26 = 731.57/x
  3. Step 3: Cross multiply
    2,922.84x = 4,384.26 × 731.57
  4. Step 4: Simplify right side
    2,922.84x = 3,207,393.09
  5. Step 5: Solve for x
    x = 3,207,393.09/2,922.84
  6. Step 6: Final answer
    x = 1,097.36

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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.