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Finding the Fourth Proportional to 2,175.49, 3,263.19 and 714.73

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Solution

The fourth proportional to 2,175.49, 3,263.19 and 714.73 is: 1,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.49 : 3,263.19 = 714.73 : x
  2. Step 2: Convert to fraction form
    2,175.49/3,263.19 = 714.73/x
  3. Step 3: Cross multiply
    2,175.49x = 3,263.19 × 714.73
  4. Step 4: Simplify right side
    2,175.49x = 2,332,299.79
  5. Step 5: Solve for x
    x = 2,332,299.79/2,175.49
  6. Step 6: Final answer
    x = 1,072.08

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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.