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Finding the Fourth Proportional to 4,605.24, 6,906.84 and 1,318.32

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Solution

The fourth proportional to 4,605.24, 6,906.84 and 1,318.32 is: 1,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.24 : 6,906.84 = 1,318.32 : x
  2. Step 2: Convert to fraction form
    4,605.24/6,906.84 = 1,318.32/x
  3. Step 3: Cross multiply
    4,605.24x = 6,906.84 × 1,318.32
  4. Step 4: Simplify right side
    4,605.24x = 9,105,425.31
  5. Step 5: Solve for x
    x = 9,105,425.31/4,605.24
  6. Step 6: Final answer
    x = 1,977.19

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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.