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Finding the Fourth Proportional to 2,274.87, 3,412.07 and 714.89

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Solution

The fourth proportional to 2,274.87, 3,412.07 and 714.89 is: 1,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.87 : 3,412.07 = 714.89 : x
  2. Step 2: Convert to fraction form
    2,274.87/3,412.07 = 714.89/x
  3. Step 3: Cross multiply
    2,274.87x = 3,412.07 × 714.89
  4. Step 4: Simplify right side
    2,274.87x = 2,439,239.45
  5. Step 5: Solve for x
    x = 2,439,239.45/2,274.87
  6. Step 6: Final answer
    x = 1,072.25

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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.