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Finding the Fourth Proportional to 1,702.62, 2,350.62 and 1,604.21

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Solution

The fourth proportional to 1,702.62, 2,350.62 and 1,604.21 is: 2,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.62 : 2,350.62 = 1,604.21 : x
  2. Step 2: Convert to fraction form
    1,702.62/2,350.62 = 1,604.21/x
  3. Step 3: Cross multiply
    1,702.62x = 2,350.62 × 1,604.21
  4. Step 4: Simplify right side
    1,702.62x = 3,770,876.36
  5. Step 5: Solve for x
    x = 3,770,876.36/1,702.62
  6. Step 6: Final answer
    x = 2,214.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.