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Finding the Fourth Proportional to 3,192.82, 4,397.02 and 2,307.22

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Solution

The fourth proportional to 3,192.82, 4,397.02 and 2,307.22 is: 3,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.82 : 4,397.02 = 2,307.22 : x
  2. Step 2: Convert to fraction form
    3,192.82/4,397.02 = 2,307.22/x
  3. Step 3: Cross multiply
    3,192.82x = 4,397.02 × 2,307.22
  4. Step 4: Simplify right side
    3,192.82x = 10,144,892.48
  5. Step 5: Solve for x
    x = 10,144,892.48/3,192.82
  6. Step 6: Final answer
    x = 3,177.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.