Home / 1,645.21-2,270.52-946.57

Finding the Fourth Proportional to 1,645.21, 2,270.52 and 946.57

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Solution

The fourth proportional to 1,645.21, 2,270.52 and 946.57 is: 1,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.21 : 2,270.52 = 946.57 : x
  2. Step 2: Convert to fraction form
    1,645.21/2,270.52 = 946.57/x
  3. Step 3: Cross multiply
    1,645.21x = 2,270.52 × 946.57
  4. Step 4: Simplify right side
    1,645.21x = 2,149,206.12
  5. Step 5: Solve for x
    x = 2,149,206.12/1,645.21
  6. Step 6: Final answer
    x = 1,306.34

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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.