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Finding the Fourth Proportional to 3,117.65, 4,674.03 and 1,636.61

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Solution

The fourth proportional to 3,117.65, 4,674.03 and 1,636.61 is: 2,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.65 : 4,674.03 = 1,636.61 : x
  2. Step 2: Convert to fraction form
    3,117.65/4,674.03 = 1,636.61/x
  3. Step 3: Cross multiply
    3,117.65x = 4,674.03 × 1,636.61
  4. Step 4: Simplify right side
    3,117.65x = 7,649,539.33
  5. Step 5: Solve for x
    x = 7,649,539.33/3,117.65
  6. Step 6: Final answer
    x = 2,453.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.