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Finding the Fourth Proportional to 1,609.84, 2,221.72 and 946.48

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Solution

The fourth proportional to 1,609.84, 2,221.72 and 946.48 is: 1,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.84 : 2,221.72 = 946.48 : x
  2. Step 2: Convert to fraction form
    1,609.84/2,221.72 = 946.48/x
  3. Step 3: Cross multiply
    1,609.84x = 2,221.72 × 946.48
  4. Step 4: Simplify right side
    1,609.84x = 2,102,813.55
  5. Step 5: Solve for x
    x = 2,102,813.55/1,609.84
  6. Step 6: Final answer
    x = 1,306.23

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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.