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Finding the Fourth Proportional to 3,049.32, 4,574.04 and 1,200

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Solution

The fourth proportional to 3,049.32, 4,574.04 and 1,200 is: 1,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.32 : 4,574.04 = 1,200 : x
  2. Step 2: Convert to fraction form
    3,049.32/4,574.04 = 1,200/x
  3. Step 3: Cross multiply
    3,049.32x = 4,574.04 × 1,200
  4. Step 4: Simplify right side
    3,049.32x = 5,488,848
  5. Step 5: Solve for x
    x = 5,488,848/3,049.32
  6. Step 6: Final answer
    x = 1,800.02

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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.