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Finding the Fourth Proportional to 1,899.63, 2,847.31 and 1,435.90

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Solution

The fourth proportional to 1,899.63, 2,847.31 and 1,435.90 is: 2,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.63 : 2,847.31 = 1,435.90 : x
  2. Step 2: Convert to fraction form
    1,899.63/2,847.31 = 1,435.90/x
  3. Step 3: Cross multiply
    1,899.63x = 2,847.31 × 1,435.90
  4. Step 4: Simplify right side
    1,899.63x = 4,088,452.43
  5. Step 5: Solve for x
    x = 4,088,452.43/1,899.63
  6. Step 6: Final answer
    x = 2,152.24

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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.