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Finding the Fourth Proportional to 3,054.53, 4,574.68 and 2,230.76

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Solution

The fourth proportional to 3,054.53, 4,574.68 and 2,230.76 is: 3,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.53 : 4,574.68 = 2,230.76 : x
  2. Step 2: Convert to fraction form
    3,054.53/4,574.68 = 2,230.76/x
  3. Step 3: Cross multiply
    3,054.53x = 4,574.68 × 2,230.76
  4. Step 4: Simplify right side
    3,054.53x = 10,205,019.02
  5. Step 5: Solve for x
    x = 10,205,019.02/3,054.53
  6. Step 6: Final answer
    x = 3,340.94

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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.