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Finding the Fourth Proportional to 1,546.10, 2,318.60 and 450.18

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Solution

The fourth proportional to 1,546.10, 2,318.60 and 450.18 is: 675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.10 : 2,318.60 = 450.18 : x
  2. Step 2: Convert to fraction form
    1,546.10/2,318.60 = 450.18/x
  3. Step 3: Cross multiply
    1,546.10x = 2,318.60 × 450.18
  4. Step 4: Simplify right side
    1,546.10x = 1,043,787.35
  5. Step 5: Solve for x
    x = 1,043,787.35/1,546.10
  6. Step 6: Final answer
    x = 675.11

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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.