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Finding the Fourth Proportional to 1,953.26, 2,929.88 and 492.41

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Solution

The fourth proportional to 1,953.26, 2,929.88 and 492.41 is: 738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.26 : 2,929.88 = 492.41 : x
  2. Step 2: Convert to fraction form
    1,953.26/2,929.88 = 492.41/x
  3. Step 3: Cross multiply
    1,953.26x = 2,929.88 × 492.41
  4. Step 4: Simplify right side
    1,953.26x = 1,442,687.56
  5. Step 5: Solve for x
    x = 1,442,687.56/1,953.26
  6. Step 6: Final answer
    x = 738.60

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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.