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Finding the Fourth Proportional to 1,804.73, 2,707.10 and 506.21

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Solution

The fourth proportional to 1,804.73, 2,707.10 and 506.21 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.73 : 2,707.10 = 506.21 : x
  2. Step 2: Convert to fraction form
    1,804.73/2,707.10 = 506.21/x
  3. Step 3: Cross multiply
    1,804.73x = 2,707.10 × 506.21
  4. Step 4: Simplify right side
    1,804.73x = 1,370,358.56
  5. Step 5: Solve for x
    x = 1,370,358.56/1,804.73
  6. Step 6: Final answer
    x = 759.32

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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.