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Finding the Fourth Proportional to 1,702.14, 2,553.24 and 714.74

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Solution

The fourth proportional to 1,702.14, 2,553.24 and 714.74 is: 1,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.14 : 2,553.24 = 714.74 : x
  2. Step 2: Convert to fraction form
    1,702.14/2,553.24 = 714.74/x
  3. Step 3: Cross multiply
    1,702.14x = 2,553.24 × 714.74
  4. Step 4: Simplify right side
    1,702.14x = 1,824,902.76
  5. Step 5: Solve for x
    x = 1,824,902.76/1,702.14
  6. Step 6: Final answer
    x = 1,072.12

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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.