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Finding the Fourth Proportional to 3,049.66, 4,574.84 and 1,200.53

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Solution

The fourth proportional to 3,049.66, 4,574.84 and 1,200.53 is: 1,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.66 : 4,574.84 = 1,200.53 : x
  2. Step 2: Convert to fraction form
    3,049.66/4,574.84 = 1,200.53/x
  3. Step 3: Cross multiply
    3,049.66x = 4,574.84 × 1,200.53
  4. Step 4: Simplify right side
    3,049.66x = 5,492,238.10
  5. Step 5: Solve for x
    x = 5,492,238.10/3,049.66
  6. Step 6: Final answer
    x = 1,800.93

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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.