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Finding the Fourth Proportional to 2,089.29, 2,883.19 and 1,193

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Solution

The fourth proportional to 2,089.29, 2,883.19 and 1,193 is: 1,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.29 : 2,883.19 = 1,193 : x
  2. Step 2: Convert to fraction form
    2,089.29/2,883.19 = 1,193/x
  3. Step 3: Cross multiply
    2,089.29x = 2,883.19 × 1,193
  4. Step 4: Simplify right side
    2,089.29x = 3,439,645.67
  5. Step 5: Solve for x
    x = 3,439,645.67/2,089.29
  6. Step 6: Final answer
    x = 1,646.32

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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.