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Finding the Fourth Proportional to 2,635.67, 3,636.74 and 1,703.63

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Solution

The fourth proportional to 2,635.67, 3,636.74 and 1,703.63 is: 2,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.67 : 3,636.74 = 1,703.63 : x
  2. Step 2: Convert to fraction form
    2,635.67/3,636.74 = 1,703.63/x
  3. Step 3: Cross multiply
    2,635.67x = 3,636.74 × 1,703.63
  4. Step 4: Simplify right side
    2,635.67x = 6,195,632.66
  5. Step 5: Solve for x
    x = 6,195,632.66/2,635.67
  6. Step 6: Final answer
    x = 2,350.69

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