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Finding the Fourth Proportional to 3,284.40, 4,532.40 and 1,792.26

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Solution

The fourth proportional to 3,284.40, 4,532.40 and 1,792.26 is: 2,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.40 : 4,532.40 = 1,792.26 : x
  2. Step 2: Convert to fraction form
    3,284.40/4,532.40 = 1,792.26/x
  3. Step 3: Cross multiply
    3,284.40x = 4,532.40 × 1,792.26
  4. Step 4: Simplify right side
    3,284.40x = 8,123,239.22
  5. Step 5: Solve for x
    x = 8,123,239.22/3,284.40
  6. Step 6: Final answer
    x = 2,473.28

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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.