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Finding the Fourth Proportional to 1,632.66, 2,252.07 and 969.06

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Solution

The fourth proportional to 1,632.66, 2,252.07 and 969.06 is: 1,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.66 : 2,252.07 = 969.06 : x
  2. Step 2: Convert to fraction form
    1,632.66/2,252.07 = 969.06/x
  3. Step 3: Cross multiply
    1,632.66x = 2,252.07 × 969.06
  4. Step 4: Simplify right side
    1,632.66x = 2,182,399.40
  5. Step 5: Solve for x
    x = 2,182,399.40/1,632.66
  6. Step 6: Final answer
    x = 1,336.72

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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.