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Finding the Fourth Proportional to 2,972.43, 4,459.46 and 892.51

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Solution

The fourth proportional to 2,972.43, 4,459.46 and 892.51 is: 1,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.43 : 4,459.46 = 892.51 : x
  2. Step 2: Convert to fraction form
    2,972.43/4,459.46 = 892.51/x
  3. Step 3: Cross multiply
    2,972.43x = 4,459.46 × 892.51
  4. Step 4: Simplify right side
    2,972.43x = 3,980,097.03
  5. Step 5: Solve for x
    x = 3,980,097.03/2,972.43
  6. Step 6: Final answer
    x = 1,339.00

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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.