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Finding the Fourth Proportional to 3,074.68, 4,612.70 and 1,126.90

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Solution

The fourth proportional to 3,074.68, 4,612.70 and 1,126.90 is: 1,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.68 : 4,612.70 = 1,126.90 : x
  2. Step 2: Convert to fraction form
    3,074.68/4,612.70 = 1,126.90/x
  3. Step 3: Cross multiply
    3,074.68x = 4,612.70 × 1,126.90
  4. Step 4: Simplify right side
    3,074.68x = 5,198,051.63
  5. Step 5: Solve for x
    x = 5,198,051.63/3,074.68
  6. Step 6: Final answer
    x = 1,690.60

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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.