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Finding the Fourth Proportional to 1,632.26, 2,251.96 and 924.02

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Solution

The fourth proportional to 1,632.26, 2,251.96 and 924.02 is: 1,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.26 : 2,251.96 = 924.02 : x
  2. Step 2: Convert to fraction form
    1,632.26/2,251.96 = 924.02/x
  3. Step 3: Cross multiply
    1,632.26x = 2,251.96 × 924.02
  4. Step 4: Simplify right side
    1,632.26x = 2,080,856.08
  5. Step 5: Solve for x
    x = 2,080,856.08/1,632.26
  6. Step 6: Final answer
    x = 1,274.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.