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Finding the Fourth Proportional to 1,899.64, 2,847.57 and 912.18

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Solution

The fourth proportional to 1,899.64, 2,847.57 and 912.18 is: 1,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.64 : 2,847.57 = 912.18 : x
  2. Step 2: Convert to fraction form
    1,899.64/2,847.57 = 912.18/x
  3. Step 3: Cross multiply
    1,899.64x = 2,847.57 × 912.18
  4. Step 4: Simplify right side
    1,899.64x = 2,597,496.40
  5. Step 5: Solve for x
    x = 2,597,496.40/1,899.64
  6. Step 6: Final answer
    x = 1,367.36

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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.