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Finding the Fourth Proportional to 2,972.53, 4,458.77 and 892.71

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Solution

The fourth proportional to 2,972.53, 4,458.77 and 892.71 is: 1,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.53 : 4,458.77 = 892.71 : x
  2. Step 2: Convert to fraction form
    2,972.53/4,458.77 = 892.71/x
  3. Step 3: Cross multiply
    2,972.53x = 4,458.77 × 892.71
  4. Step 4: Simplify right side
    2,972.53x = 3,980,384.94
  5. Step 5: Solve for x
    x = 3,980,384.94/2,972.53
  6. Step 6: Final answer
    x = 1,339.06

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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.