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Finding the Fourth Proportional to 1,609.97, 2,220.97 and 946.40

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Solution

The fourth proportional to 1,609.97, 2,220.97 and 946.40 is: 1,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.97 : 2,220.97 = 946.40 : x
  2. Step 2: Convert to fraction form
    1,609.97/2,220.97 = 946.40/x
  3. Step 3: Cross multiply
    1,609.97x = 2,220.97 × 946.40
  4. Step 4: Simplify right side
    1,609.97x = 2,101,926.01
  5. Step 5: Solve for x
    x = 2,101,926.01/1,609.97
  6. Step 6: Final answer
    x = 1,305.57

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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.