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Finding the Fourth Proportional to 1,546.14, 2,318.91 and 506.10

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Solution

The fourth proportional to 1,546.14, 2,318.91 and 506.10 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.14 : 2,318.91 = 506.10 : x
  2. Step 2: Convert to fraction form
    1,546.14/2,318.91 = 506.10/x
  3. Step 3: Cross multiply
    1,546.14x = 2,318.91 × 506.10
  4. Step 4: Simplify right side
    1,546.14x = 1,173,600.35
  5. Step 5: Solve for x
    x = 1,173,600.35/1,546.14
  6. Step 6: Final answer
    x = 759.05

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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.