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Finding the Fourth Proportional to 3,074.37, 4,612.14 and 1,126.68

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Solution

The fourth proportional to 3,074.37, 4,612.14 and 1,126.68 is: 1,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.37 : 4,612.14 = 1,126.68 : x
  2. Step 2: Convert to fraction form
    3,074.37/4,612.14 = 1,126.68/x
  3. Step 3: Cross multiply
    3,074.37x = 4,612.14 × 1,126.68
  4. Step 4: Simplify right side
    3,074.37x = 5,196,405.90
  5. Step 5: Solve for x
    x = 5,196,405.90/3,074.37
  6. Step 6: Final answer
    x = 1,690.23

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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.