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Finding the Fourth Proportional to 3,284.76, 4,532.22 and 1,958.88

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Solution

The fourth proportional to 3,284.76, 4,532.22 and 1,958.88 is: 2,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.76 : 4,532.22 = 1,958.88 : x
  2. Step 2: Convert to fraction form
    3,284.76/4,532.22 = 1,958.88/x
  3. Step 3: Cross multiply
    3,284.76x = 4,532.22 × 1,958.88
  4. Step 4: Simplify right side
    3,284.76x = 8,878,075.11
  5. Step 5: Solve for x
    x = 8,878,075.11/3,284.76
  6. Step 6: Final answer
    x = 2,702.81

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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.