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Finding the Fourth Proportional to 1,924.47, 2,885.67 and 997.73

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Solution

The fourth proportional to 1,924.47, 2,885.67 and 997.73 is: 1,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.47 : 2,885.67 = 997.73 : x
  2. Step 2: Convert to fraction form
    1,924.47/2,885.67 = 997.73/x
  3. Step 3: Cross multiply
    1,924.47x = 2,885.67 × 997.73
  4. Step 4: Simplify right side
    1,924.47x = 2,879,119.53
  5. Step 5: Solve for x
    x = 2,879,119.53/1,924.47
  6. Step 6: Final answer
    x = 1,496.06

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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.