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Finding the Fourth Proportional to 1,431.05, 2,146.62 and 608.18

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Solution

The fourth proportional to 1,431.05, 2,146.62 and 608.18 is: 912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.05 : 2,146.62 = 608.18 : x
  2. Step 2: Convert to fraction form
    1,431.05/2,146.62 = 608.18/x
  3. Step 3: Cross multiply
    1,431.05x = 2,146.62 × 608.18
  4. Step 4: Simplify right side
    1,431.05x = 1,305,531.35
  5. Step 5: Solve for x
    x = 1,305,531.35/1,431.05
  6. Step 6: Final answer
    x = 912.29

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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.