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Finding the Fourth Proportional to 2,605.64, 3,906.73 and 1,436.20

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Solution

The fourth proportional to 2,605.64, 3,906.73 and 1,436.20 is: 2,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.64 : 3,906.73 = 1,436.20 : x
  2. Step 2: Convert to fraction form
    2,605.64/3,906.73 = 1,436.20/x
  3. Step 3: Cross multiply
    2,605.64x = 3,906.73 × 1,436.20
  4. Step 4: Simplify right side
    2,605.64x = 5,610,845.63
  5. Step 5: Solve for x
    x = 5,610,845.63/2,605.64
  6. Step 6: Final answer
    x = 2,153.35

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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.