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Finding the Fourth Proportional to 3,054.60, 4,578.75 and 1,203.21

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Solution

The fourth proportional to 3,054.60, 4,578.75 and 1,203.21 is: 1,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.60 : 4,578.75 = 1,203.21 : x
  2. Step 2: Convert to fraction form
    3,054.60/4,578.75 = 1,203.21/x
  3. Step 3: Cross multiply
    3,054.60x = 4,578.75 × 1,203.21
  4. Step 4: Simplify right side
    3,054.60x = 5,509,197.79
  5. Step 5: Solve for x
    x = 5,509,197.79/3,054.60
  6. Step 6: Final answer
    x = 1,803.57

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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.