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Finding the Fourth Proportional to 1,633.82, 2,253.92 and 970.29

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Solution

The fourth proportional to 1,633.82, 2,253.92 and 970.29 is: 1,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.82 : 2,253.92 = 970.29 : x
  2. Step 2: Convert to fraction form
    1,633.82/2,253.92 = 970.29/x
  3. Step 3: Cross multiply
    1,633.82x = 2,253.92 × 970.29
  4. Step 4: Simplify right side
    1,633.82x = 2,186,951.19
  5. Step 5: Solve for x
    x = 2,186,951.19/1,633.82
  6. Step 6: Final answer
    x = 1,338.55

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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.