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Finding the Fourth Proportional to 2,553.98, 3,831.78 and 994.64

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Solution

The fourth proportional to 2,553.98, 3,831.78 and 994.64 is: 1,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.98 : 3,831.78 = 994.64 : x
  2. Step 2: Convert to fraction form
    2,553.98/3,831.78 = 994.64/x
  3. Step 3: Cross multiply
    2,553.98x = 3,831.78 × 994.64
  4. Step 4: Simplify right side
    2,553.98x = 3,811,241.66
  5. Step 5: Solve for x
    x = 3,811,241.66/2,553.98
  6. Step 6: Final answer
    x = 1,492.28

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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.