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Finding the Fourth Proportional to 2,634.50, 3,635.62 and 1,703

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Solution

The fourth proportional to 2,634.50, 3,635.62 and 1,703 is: 2,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.50 : 3,635.62 = 1,703 : x
  2. Step 2: Convert to fraction form
    2,634.50/3,635.62 = 1,703/x
  3. Step 3: Cross multiply
    2,634.50x = 3,635.62 × 1,703
  4. Step 4: Simplify right side
    2,634.50x = 6,191,460.86
  5. Step 5: Solve for x
    x = 6,191,460.86/2,634.50
  6. Step 6: Final answer
    x = 2,350.15

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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.