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Finding the Fourth Proportional to 1,893.08, 2,609.88 and 1,414.10

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Solution

The fourth proportional to 1,893.08, 2,609.88 and 1,414.10 is: 1,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.08 : 2,609.88 = 1,414.10 : x
  2. Step 2: Convert to fraction form
    1,893.08/2,609.88 = 1,414.10/x
  3. Step 3: Cross multiply
    1,893.08x = 2,609.88 × 1,414.10
  4. Step 4: Simplify right side
    1,893.08x = 3,690,631.31
  5. Step 5: Solve for x
    x = 3,690,631.31/1,893.08
  6. Step 6: Final answer
    x = 1,949.54

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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.