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Finding the Fourth Proportional to 1,632.85, 2,253.62 and 969.93

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Solution

The fourth proportional to 1,632.85, 2,253.62 and 969.93 is: 1,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.85 : 2,253.62 = 969.93 : x
  2. Step 2: Convert to fraction form
    1,632.85/2,253.62 = 969.93/x
  3. Step 3: Cross multiply
    1,632.85x = 2,253.62 × 969.93
  4. Step 4: Simplify right side
    1,632.85x = 2,185,856.07
  5. Step 5: Solve for x
    x = 2,185,856.07/1,632.85
  6. Step 6: Final answer
    x = 1,338.68

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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.