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Finding the Fourth Proportional to 1,632.72, 2,252.81 and 969.79

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Solution

The fourth proportional to 1,632.72, 2,252.81 and 969.79 is: 1,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.72 : 2,252.81 = 969.79 : x
  2. Step 2: Convert to fraction form
    1,632.72/2,252.81 = 969.79/x
  3. Step 3: Cross multiply
    1,632.72x = 2,252.81 × 969.79
  4. Step 4: Simplify right side
    1,632.72x = 2,184,753.63
  5. Step 5: Solve for x
    x = 2,184,753.63/1,632.72
  6. Step 6: Final answer
    x = 1,338.10

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Why These Related Problems?

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