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Finding the Fourth Proportional to 2,657.70, 3,669.28 and 1,713.96

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Solution

The fourth proportional to 2,657.70, 3,669.28 and 1,713.96 is: 2,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.70 : 3,669.28 = 1,713.96 : x
  2. Step 2: Convert to fraction form
    2,657.70/3,669.28 = 1,713.96/x
  3. Step 3: Cross multiply
    2,657.70x = 3,669.28 × 1,713.96
  4. Step 4: Simplify right side
    2,657.70x = 6,288,999.15
  5. Step 5: Solve for x
    x = 6,288,999.15/2,657.70
  6. Step 6: Final answer
    x = 2,366.33

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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.