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Finding the Fourth Proportional to 2,281.69, 3,422.28 and 638.37

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Solution

The fourth proportional to 2,281.69, 3,422.28 and 638.37 is: 957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.69 : 3,422.28 = 638.37 : x
  2. Step 2: Convert to fraction form
    2,281.69/3,422.28 = 638.37/x
  3. Step 3: Cross multiply
    2,281.69x = 3,422.28 × 638.37
  4. Step 4: Simplify right side
    2,281.69x = 2,184,673.08
  5. Step 5: Solve for x
    x = 2,184,673.08/2,281.69
  6. Step 6: Final answer
    x = 957.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.