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Finding the Fourth Proportional to 3,056.33, 4,578.33 and 1,410.59

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Solution

The fourth proportional to 3,056.33, 4,578.33 and 1,410.59 is: 2,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.33 : 4,578.33 = 1,410.59 : x
  2. Step 2: Convert to fraction form
    3,056.33/4,578.33 = 1,410.59/x
  3. Step 3: Cross multiply
    3,056.33x = 4,578.33 × 1,410.59
  4. Step 4: Simplify right side
    3,056.33x = 6,458,163.25
  5. Step 5: Solve for x
    x = 6,458,163.25/3,056.33
  6. Step 6: Final answer
    x = 2,113.04

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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.