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Finding the Fourth Proportional to 3,093.63, 4,641.05 and 1,362.25

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Solution

The fourth proportional to 3,093.63, 4,641.05 and 1,362.25 is: 2,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.63 : 4,641.05 = 1,362.25 : x
  2. Step 2: Convert to fraction form
    3,093.63/4,641.05 = 1,362.25/x
  3. Step 3: Cross multiply
    3,093.63x = 4,641.05 × 1,362.25
  4. Step 4: Simplify right side
    3,093.63x = 6,322,263.55
  5. Step 5: Solve for x
    x = 6,322,263.55/3,093.63
  6. Step 6: Final answer
    x = 2,043.64

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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.