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Finding the Fourth Proportional to 3,074.68, 4,609.86 and 1,126.63

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Solution

The fourth proportional to 3,074.68, 4,609.86 and 1,126.63 is: 1,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.68 : 4,609.86 = 1,126.63 : x
  2. Step 2: Convert to fraction form
    3,074.68/4,609.86 = 1,126.63/x
  3. Step 3: Cross multiply
    3,074.68x = 4,609.86 × 1,126.63
  4. Step 4: Simplify right side
    3,074.68x = 5,193,606.57
  5. Step 5: Solve for x
    x = 5,193,606.57/3,074.68
  6. Step 6: Final answer
    x = 1,689.15

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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.