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Finding the Fourth Proportional to 2,175.57, 3,264.03 and 714.92

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Solution

The fourth proportional to 2,175.57, 3,264.03 and 714.92 is: 1,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.57 : 3,264.03 = 714.92 : x
  2. Step 2: Convert to fraction form
    2,175.57/3,264.03 = 714.92/x
  3. Step 3: Cross multiply
    2,175.57x = 3,264.03 × 714.92
  4. Step 4: Simplify right side
    2,175.57x = 2,333,504.01
  5. Step 5: Solve for x
    x = 2,333,504.01/2,175.57
  6. Step 6: Final answer
    x = 1,072.59

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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.