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Finding the Fourth Proportional to 2,702.16, 3,728.84 and 1,706

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Solution

The fourth proportional to 2,702.16, 3,728.84 and 1,706 is: 2,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.16 : 3,728.84 = 1,706 : x
  2. Step 2: Convert to fraction form
    2,702.16/3,728.84 = 1,706/x
  3. Step 3: Cross multiply
    2,702.16x = 3,728.84 × 1,706
  4. Step 4: Simplify right side
    2,702.16x = 6,361,401.04
  5. Step 5: Solve for x
    x = 6,361,401.04/2,702.16
  6. Step 6: Final answer
    x = 2,354.19

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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.