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Finding the Fourth Proportional to 2,929.26, 4,393.89 and 738.16

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Solution

The fourth proportional to 2,929.26, 4,393.89 and 738.16 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.26 : 4,393.89 = 738.16 : x
  2. Step 2: Convert to fraction form
    2,929.26/4,393.89 = 738.16/x
  3. Step 3: Cross multiply
    2,929.26x = 4,393.89 × 738.16
  4. Step 4: Simplify right side
    2,929.26x = 3,243,368.18
  5. Step 5: Solve for x
    x = 3,243,368.18/2,929.26
  6. Step 6: Final answer
    x = 1,107.23

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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.