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Finding the Fourth Proportional to 2,118.94, 3,178.62 and 732.09

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Solution

The fourth proportional to 2,118.94, 3,178.62 and 732.09 is: 1,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.94 : 3,178.62 = 732.09 : x
  2. Step 2: Convert to fraction form
    2,118.94/3,178.62 = 732.09/x
  3. Step 3: Cross multiply
    2,118.94x = 3,178.62 × 732.09
  4. Step 4: Simplify right side
    2,118.94x = 2,327,035.92
  5. Step 5: Solve for x
    x = 2,327,035.92/2,118.94
  6. Step 6: Final answer
    x = 1,098.21

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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.