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Finding the Fourth Proportional to 1,633.02, 2,253.94 and 961.12

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Solution

The fourth proportional to 1,633.02, 2,253.94 and 961.12 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.02 : 2,253.94 = 961.12 : x
  2. Step 2: Convert to fraction form
    1,633.02/2,253.94 = 961.12/x
  3. Step 3: Cross multiply
    1,633.02x = 2,253.94 × 961.12
  4. Step 4: Simplify right side
    1,633.02x = 2,166,306.81
  5. Step 5: Solve for x
    x = 2,166,306.81/1,633.02
  6. Step 6: Final answer
    x = 1,326.56

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1.5x scale

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.