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Finding the Fourth Proportional to 3,093.84, 4,641.57 and 1,146.60

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Solution

The fourth proportional to 3,093.84, 4,641.57 and 1,146.60 is: 1,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.84 : 4,641.57 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    3,093.84/4,641.57 = 1,146.60/x
  3. Step 3: Cross multiply
    3,093.84x = 4,641.57 × 1,146.60
  4. Step 4: Simplify right side
    3,093.84x = 5,322,024.16
  5. Step 5: Solve for x
    x = 5,322,024.16/3,093.84
  6. Step 6: Final answer
    x = 1,720.20

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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.