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Finding the Fourth Proportional to 2,274.97, 3,412.49 and 714.91

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Solution

The fourth proportional to 2,274.97, 3,412.49 and 714.91 is: 1,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.97 : 3,412.49 = 714.91 : x
  2. Step 2: Convert to fraction form
    2,274.97/3,412.49 = 714.91/x
  3. Step 3: Cross multiply
    2,274.97x = 3,412.49 × 714.91
  4. Step 4: Simplify right side
    2,274.97x = 2,439,623.23
  5. Step 5: Solve for x
    x = 2,439,623.23/2,274.97
  6. Step 6: Final answer
    x = 1,072.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.