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Finding the Fourth Proportional to 1,645.40, 2,270.40 and 946.64

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Solution

The fourth proportional to 1,645.40, 2,270.40 and 946.64 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.40 : 2,270.40 = 946.64 : x
  2. Step 2: Convert to fraction form
    1,645.40/2,270.40 = 946.64/x
  3. Step 3: Cross multiply
    1,645.40x = 2,270.40 × 946.64
  4. Step 4: Simplify right side
    1,645.40x = 2,149,240.10
  5. Step 5: Solve for x
    x = 2,149,240.10/1,645.40
  6. Step 6: Final answer
    x = 1,306.22

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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.