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Finding the Fourth Proportional to 3,284.64, 4,532.25 and 1,958.31

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Solution

The fourth proportional to 3,284.64, 4,532.25 and 1,958.31 is: 2,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.64 : 4,532.25 = 1,958.31 : x
  2. Step 2: Convert to fraction form
    3,284.64/4,532.25 = 1,958.31/x
  3. Step 3: Cross multiply
    3,284.64x = 4,532.25 × 1,958.31
  4. Step 4: Simplify right side
    3,284.64x = 8,875,550.50
  5. Step 5: Solve for x
    x = 8,875,550.50/3,284.64
  6. Step 6: Final answer
    x = 2,702.14

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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.