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Finding the Fourth Proportional to 1,632.00, 2,252.26 and 923.91

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Solution

The fourth proportional to 1,632.00, 2,252.26 and 923.91 is: 1,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.00 : 2,252.26 = 923.91 : x
  2. Step 2: Convert to fraction form
    1,632.00/2,252.26 = 923.91/x
  3. Step 3: Cross multiply
    1,632.00x = 2,252.26 × 923.91
  4. Step 4: Simplify right side
    1,632.00x = 2,080,873.05
  5. Step 5: Solve for x
    x = 2,080,873.05/1,632.00
  6. Step 6: Final answer
    x = 1,275.05

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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.