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Finding the Fourth Proportional to 2,284.09, 3,425.23 and 898.09

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Solution

The fourth proportional to 2,284.09, 3,425.23 and 898.09 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.09 : 3,425.23 = 898.09 : x
  2. Step 2: Convert to fraction form
    2,284.09/3,425.23 = 898.09/x
  3. Step 3: Cross multiply
    2,284.09x = 3,425.23 × 898.09
  4. Step 4: Simplify right side
    2,284.09x = 3,076,164.81
  5. Step 5: Solve for x
    x = 3,076,164.81/2,284.09
  6. Step 6: Final answer
    x = 1,346.78

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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.